Knots, links and complex singularities  Page description

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Details of project

  
Identifier
126683
Type KKP
Principal investigator Stipsicz, András
Title in Hungarian Csomók, láncok és komplex szingularitások
Title in English Knots, links and complex singularities
Keywords in Hungarian Csomó Floer homológia, kontakt topológia, láncok, L-terek, Higgs nyalábok
Keywords in English Knot Floer homology, contact topology, links, L-spaces, Higgs bundles
Discipline
Mathematics (Council of Physical Sciences)100 %
Ortelius classification: Algebraic topology
Panel 'Forefront' Research Excellence Program
Department or equivalent Alfréd Rényi Institute of Mathematics
Participants Ágoston, Tamás
Alfieri, Antonio
Beke, Márton
Cavallo, Alberto
Curmi, Octave
Fehér, László
Földvári, Viktória Andrea
Gironella, Fabio
Ivanics, Péter
Kalmár, Boldizsár
László, Tamás
Matkovic, Irena
Mihajlovic, Stefan
Nagy, János
Némethi, András
Romano Velázquez, Faustino Agustín
Sándor, András
Skublics, Benedek
Szabó, Szilárd
Starting date 2018-01-01
Closing date 2023-12-31
Funding (in million HUF) 247.140
FTE (full time equivalent) 47.40
state running project





 

Final report

  
Results in Hungarian
A projekt során számos kérdés megoldásában tudtunk jelentõsen elõrehaladni. Felületszingularitások esetében a rácspont-homológia konstrukciójának messzemenõ általánosítása, és alkalmazása komplex görbékre illetve magasabb dimenzióban érdemel kiemelést. Megjelent a felületszingularitásokat tárgyaló monográfia is. Csomóelméletben számos új invariáns, ezek hatása a konkordizmus-csoportra, illetve tágabb értelemben a Heegaard Floer homológia (és csomó Floer homológia) adta a vizsgálatok tárgyát. Kontakt sokaságok Legendre és transzverz csomóit is intenzíven kutattuk. Sokaságok topológiájára számos új eredmény született, a négy-dimenziós esetben fõleg a génusz-függvény témakörében. Például új obstrukciót találtunk arra, hogy egy csomó metszet legyen --- és ez az obstrukció egy zárt sokaság génusz-függvényén alapul. Kiemelést érdemel talán Cavallo és Stipsicz cikke potenciális egzotikus 4-gömbök megkülönböztethetõségérõl. A Higgs nyalábok elméletében jónéhány cikk született, például a nevezetes P=W sejtéssel kapcsolatban. Gironella magas dimenziós kontakt sokaságokra vonatkozó eredménye a matematika egyik legnevezetesebb folyóiratában jelent meg.
Results in English
During the project, we were able to make significant progress in solving many problems. In the case of surface singularities, the far-reaching generalization of the lattice homology construction and its application to complex curves and in higher dimensions deserves highlighting. The monograph discussing surface singularities was also published. In knot theory, several new invariants, their effect on the concordance group, and, in a broader sense, the Heegaard Floer homology (and knot Floer homologies) were the subject of the investigations. Legendre and transverse knots of contact manifolds were also intensively researched. Many new results were obtained for the topology of manifolds, especially in the four-dimensional case through their genus function. For example, we found a new obstruction for a knot to be slice- -- and this obstruction is based on the genus function of a closed manifold. Cavallo and Stipsicz's article on the distinguishability of potential exotic 4-spheres deserves mention. There have been quite a few articles on the theory of Higgs beams, for example, regarding the famous P=W conjecture. Gironella's result on high-dimensional contact manifolds was published in one of mathematics' most famous journal.
Full text https://www.otka-palyazat.hu/download.php?type=zarobeszamolo&projektid=126683
Decision
Yes





 

List of publications

  
A. Némethi: Filtered lattice homology of curve singularities,, arXiv:2306.13889, 2023
A. Némethi: Filtered lattice homology of surface singularities., arXiv:2307.16581, 2023
A. Némethi, A. Romano-Velazquez: The classification of reflexive modules of rank one over rational and minimally elliptic singularities, arXiv:2302.08768, 2023
A Cavallo, A Stipsicz: Traces of links and simply connected 4-manifolds, Bulletin of the London Math Soc, 55 (2023), no. 1, pp. 321-337, https://doi.org/10.1112/blms.12729, 2022
J. Bowden, F. Gironella, A. Moreno,: Bourgeois contact structures: tightness, fillability and applications, Invent. math. (2022) 230:713–765 , https://doi.org/10.1007/s00222-022-01131-y., 2022
A. Stipsicz, Z. Szabó: On the minimal genus problem, "Frontiers in Geometry and Topology" Proceedings of Symposia in Pure Mathematics, 2023
A. Cavallo, I. Matkovic: Nearly fibered links with genus one, Acta Math. Hungar. 170 (2023) 721-731., 2023
A. Cavallo and I. Matkovič: Legendrian invariants and half Giroux torsion, preprint, 2023
JOSE LUIS CISNEROS-MOLINA AND AGUSTIN ROMANO-VELAZQUEZ: INDEXES OF VECTOR FIELDS FOR MIXED FUNCTIONS, arXiv:2305.16719, 2023
P. Aceto, N. Castro, M. Miller, J. Park, A. Stipsicz: SLICE OBSTRUCTIONS FROM GENUS BOUNDS IN DEFINITE 4-MANIFOLDS, arXiv:2303.10587, 2023
Sz. Szabó: Exponential decay of harmonic 1-forms for wild harmonic bundles on curves, Comptes Rendus de l'Académie des Sciences, to appear, 2023
Á. Gyenge, Sz. Szabó: Blow-ups and the quantum spectrum of surfaces,, arXiv:2210.08939, 2022
M. Marengon, A. N. Miller, A. Ray, A. Stipsicz: A note on surfaces in ℂℙ2 and ℂℙ2#ℂℙ2, arXiv:2210.12486, 2022
A. Némethi,: Normal surface singularities,, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge / A Series of Modern Surveys in Mathematics 74, Springer, 2022., 2022
Ananyo Dan and Agustin Romano-Velázquez: Matrix factorization for quasi-homogeneous singularities, arXiv:2301.05052, 2022
Sz. Szabó: Perversity equals weight for Painleve spaces, Advances in Mathematics, 383, Article 107667, 45 pages, 2021
I. Matkovic: Fillability of small Seifert fibered spaces,, Math. Proc. Camb. Philos. Soc. 174 (2023) 585-604, 2023
E. Fernández, F. Gironella,: A remark on the contactomorphism group of overtwisted contact spheres, Comptes Rendus Mathematiique C. R. Math. Acad. Sci. Paris 358 (2020), no. 2, 189–196., 2020
Viktória Földvári: The Knot Invariant Upsilon Using Grid Homologies, Journal of Knot Theory and Its Ramifications, Vol. 30, No. 07, 2150051, 2021
Akram Alishahi, Viktória Földvári, Kristen Hendricks, Joan Licata, Ina Petkova, Vera Vértesi: Bordered Floer homology and contact structures, Forum of Mathematics, Sigma. 2023;11:e30, 2023
Gábor Damásdi, Viktória Földvári, Márton Naszódi,: Colorful Helly-type Theorems for the Volume of Intersections of Convex Bodies,, Journal of Combinatorial Theory, Series A, 178 (2021), Paper No. 105361,, 2021
LM Fehér, ÁK Matszangosz: Halving spaces and lower bounds in real enumerative geometry, Algebraic & Geometric Topology 22 (1), 433-472, 2022
F. Gironella: Examples of contact mapping classes of infinite order in all dimensions, Mathematical Research Letters, 28 (2021), no. 3, 707–727., 2020
A. Stipsicz, Z. Szabo: A note on thickness of knots, Gauge theory and low-dimensional topology—progress and interaction, 299–308, Open Book Ser., 5, Math. Sci. Publ., Berkeley, CA, 2022., 2020
A. Cavallo: On loose Legendrian knots in rational homology spheres,, Topology and its Applications, 235 (2018), pp. 339-345, 2018
A. Cavallo: The concordance invariant tau in link grid homology, Algebraic and Geometric Topology, 18 (2018), no. 4, pp. 1917-1951, 2018
A. Cavallo: On Bennequin type inequalities for links in tight contact 3-manifolds, arXiv:1801.00614, 2018
A. Cavallo, C. Collari: Slice-torus concordance invariants and Whitehead doubles of links, arXiv:1806.10358, 2018
P. Ivanics, A. Stipsicz, Sz. Szabó:: Hitchin fibrations on two-dimensional moduli spaces of irregular Higgs bundles with one singular fiber, arXiv:1808.10125, 2018
Sz. Szabó: Perversity equals weight for Painleve spaces, arXiv:1802.03798, 2018
V. Foldvari: Legendrian non-simple two-bridge knots, Periodica Mathematica Hungarica,, 2019
F. Gironella: Examples of contact mapping classes of infinite order in all dimensions, arXiv:1809.07762, 2018
I. Matkovic: Classification of tight contact structures on small Seifert fibered L-spaces, Algebr. Geom. Topol. 18 (2018) 111–152., 2018
I. Matkovic: Fillability of small Seifert fibered spaces,, Pacific J. Math., 2018
A. Gyenge, A. Nemethi and B. Szendroi: Euler characteristics of Hilbert schemes of points on simple surfaces singularities, European Journal of Mathematics, Vol. 4, Issue 2 (2018), 439--524., 2018
E. Gorsky and A. Nemethi:: On the set of L--space surgeries for links,, Adv. in Math. 333 (2018), 386--422., 2018
A. Nemethi: Pairs of invariants of surface singularities, Proc. Int. Cong. of Math. 2018 Rio de Janeiro, Vol. 1, 745--776., 2018
A. Nemethi and G. Pinter: The boundary of the Milnor fibre of certain non--isolated singularities, Periodica Math. Hungarica 77 (1) (2018), 34--57., 2018
A. Nemethi: Linear subspace arrangements associated with normal surface singularities,, special volume of Journal of Singularities dedicated to E. Brieskorn, to appear, 2018
T. Laszlo, J. Nagy and A. Nemethi:: Combinatorial duality for Poincar'e series, polytopes and invariants of plumbed 3--manifolds, arXiv:1805.03457, 2018
J. Nagy, A. Nemethi: The Abel map for surface singularities I. Generalities and examples., arXiv:1809.03737, 2018
J. Nagy, A. Nemethi: The Abel map for surface singularities II. Generic analytic structure., arXiv:1809.03744, 2018
T. Laszlo and A. Nemethi:: On the geometry of strongly flat semigroups and their generalizations, arXiv:1809.06328, 2018
A. Alfieri: Deformations of lattice cohomology and the upsilon invariant., in preparation, 2019
A. Alfieri, D. Celoria, and A. Stipsicz,: Upsilon invariants from cyclic branched covers., arXiv:1809.08269,, 2018
T. Laszlo and Zs. Szilagyi: N'emethi’s division algorithm for zeta-functions of plumbed 3-manifolds,, Bull. London Math. Soc. 50 (2018) 1035–1055, 2018
T. Laszlo and Zs. Szilagyi:: Poincar'e series associated with links of normal surface singularities, Trans. of AMS., 2018
L. Feher, R. Rimanyi, A. Weber: Characteristic classes of orbit stratifications, the axiomatic approach, arXiv:1811.11467, 2018
L. Feher, R. Rimanyi: Chern–Schwartz–MacPherson classes of degeneracy loci, Geometry & Topology 22-6 (2018), 3575--3622., 2018
L. Feher, R. Rimanyi, A. Weber: Motivic Chern classes and K-theoretic stable envelopes, arXiv:1802.01503, 2018
P.Ivanics, A. Stipsicz, Sz. Szabo: Hitchin fibrations on moduli of irregular Higgs bundles and motivic wall-crossing, JOURNAL OF PURE AND APPLIED ALGEBRA, to appear, 2019
P. Ivanics, A. Stipsicz, Sz. Szabo: Two-dimensional moduli spaces of rank 2 Higgs bundles over CP1 with one irregular singular point, JOURNAL OF GEOMETRY AND PHYSICS 130 pages 184-212., 2018
P. Ivanics, A. Stipsicz, Sz. Szabó:: Hitchin fibrations on two-dimensional moduli spaces of irregular Higgs bundles with one singular fiber, SIGMA 15, 2019
F. Gironella: Examples of contact mapping classes of infinite order in all dimensions, Algebr. Geom. Topol., Volume 19, Number 3 (2019), 1207-1227., 2019
T. Laszlo, J. Nagy and A. Nemethi:: Combinatorial duality for Poincar'e series, polytopes and invariants of plumbed 3--manifolds, Selecta Mathematica, New series 25 (2019), no. 2, Art. 21, 31 pp., 2019
J. Nagy, A. Nemethi: The Abel map for surface singularities I. Generalities and examples., Mathematische Annalen, 375(3), 1427-1487, 2019
T. Laszlo and A. Nemethi:: On the geometry of strongly flat semigroups and their generalizations, A panorama of singularities, 109-135, Contemp. Math., 742, Amer. Math. Soc., Providence, RI, 2020., 2018
L. Feher, R. Rimanyi, A. Weber: Characteristic classes of orbit stratifications, the axiomatic approach, Conference volume: Schubert Calculus and its applications in combinatorics and representation theory, to appear, 2019
J. Bowden, F. Gironella, A. Moreno,: Bourgeois contact structures: tightness, fillability and applications, arXiv:1908.05749, 2019
E. Fernández, F. Gironella,: A remark on the contactomorphism group of overtwisted contact spheres, arXiv:1910.01359, 2019
F. Gironella: On some examples and constructions of contact manifolds, Math. Ann., 2019
V. Foldvari: The Knot Invariant Upsilon Using Grid Homologies, arXiv:1903.05893, 2019
Sz. Szabo: Simpson's geometric P=W conjecture in the Painlevé VI case via abelianization,, arXiv:1906.01856, 2019
T. Laszlo, J. Nagy, A. Nemethi: Surgery formulae for the Seiberg--Witten invariant of plumbed 3--manifolds, Revista Matematica Complutense 33 (2020), no. 1, 197-230, 2020
J. Cogolludo-Agustín, T. László, J. Martín-Morales, A. Némethi: Delta invariant of curves on rational surfaces I. The analytic approach,, arXiv:1911.07, 2019
J. Nagy, A. Nemethi: On the topology of elliptic singularities,, Pure and Applied Mathematics Quarterly, special volume in honor of G.-M. Greuel's 75th birthday., 2019
J. Nagy, A. Nemethi: The Abel map for surface singularities III. Elliptic germs, arXiv:1902.07493,, 2019
J. Nagy, A. Nemethi: Motivic Poincare series of cusp surface singularities,, arXiv:1907.12035,, 2019
J. Nagy, A. Nemethi: The dimension of the image of the Abel map associated with normal surface singularities, arXiv:1909.07023,, 2019
L. Feher, R. Rimanyi, A. Weber: Characteristic classes of orbit stratifications, the axiomatic approach, Schubert Calculus and Its Applications in Combinatorics and Representation Theory Guangzhou, China, November 2017 Editors: Hu, Jianxun, Li, Changzheng, Mihalcea, Leonardo, 2020
L. Feher, R. Rimanyi, A. Weber: Motivic Chern classes and K-theoretic stable envelopes, Proceedings of the London Mathematical Society, 2020
E. Fernández, F. Gironella,: A remark on the contactomorphism group of overtwisted contact spheres, Comptes Rendus Mathematiique, 2020
A. Némethi, Sz. Szabó,: The Geometric P=W conjecture in the Painlevé cases via plumbing calculus, International Mathematical Research Notices, 2020
Akram Alishahi, Viktória Földvári, Kristen Hendricks, Joan Licata, Ina Petkova, Vera Vértesi: Bordered Floer homology and contact structures, arXiv:2011.08672, 2020
Viktória Földvári,: Bounds on convex bodies in pairwise intersecting Minkowski arrangement of order mu, Journal of Geometry, 2020
Gábor Damásdi, Viktória Földvári, Márton Naszódi,: Colorful Helly-type Theorems for the Volume of Intersections of Convex Bodies,, Journal of Combinatorial Theory, Series A,, 2020
J. I. Cogolludo-Agustin, T. Laszlo, A. Nemethi, J. Martin-Morales: The delta invariant of curves on rational surfaces II: Poincar'e series and topological aspects, arXiv:2003.07110, 2020
J. I. Cogolludo-Agustin, T. Laszlo, A. Nemethi, J. Martin-Morales: Local invariants of minimal generic curves on rational surfaces,, arXiv:2005.10155, 2020
J. Nagy, A. Nemethi: The multiplicity of generic normal surface singularities, arXiv:2005.10867, 2020
O.Curmi: Topology of smoothings of non-isolated singularities of complex surfaces", Math. Ann. 377, 1711–1755 (2020), 2020
O. Curmi: Boundary of the Milnor fiber of a Newton non degenerate surface singularity, Adv. Math. 372 (2020), 2020
T. Laszlo: On a canonical polynomial for elliptic singularities, in preparation, 2020
LM Fehér, ÁK Matszangosz: Halving spaces and lower bounds in real enumerative geometry, arXiv:2006.11251, 2020
László M. Fehér: Motivic Chern classes of cones, Singularities and Their Interaction with Geometry and Low Dimensional Topology In Honor of András Némethi Editors: Fernández de Bobadilla, Javier, Laszlo, Tamas, Stipsicz, 2020
F. Gironella: Examples of contact mapping classes of infinite order in all dimensions", Mathematical Research Letters, 2020
A. Alfieri, S. Kang, A. Stipsicz: Connected Floer homology of covering involutions., Math. Ann. 377 (2020), no. 3-4, 1427–1452., 2020
A. Stipsicz, Z. Szabo: A note on thickness of knots, arXiv:2010.04967, 2020
A. Stipsicz, Z. Szabo: Purely cosmetic surgeries and pretzel knots, arXiv:2006.06765, 2020
Paolo Aceto, Jeffrey Meier, Allison N. Miller, Maggie Miller, JungHwan Park, András I. Stipsicz: Branched covers bounding rational homology balls, Algebraic and Geometric Topology, 2020
A. Stipsicz: An introduction to grid homology, Encyclopedia of knot theory, 2020
A. Stipsicz: A short survey on knot Floer homology, Encyclopedia of knot theory, 2020
P. Ivanics, A. Stipsicz, Sz. Szabó:: Hitchin fibrations on two-dimensional moduli spaces of irregular Higgs bundles with one singular fiber, SIGMA Symmetry Integrability Geom. Methods Appl. 15 (2019), Paper No. 085, 28 pp, 2019
Sz. Szabó: Perversity equals weight for Painleve spaces, Advances in Mathematics, Article 107667, 45 pages, 2021
A. Alfieri, D. Celoria, and A. Stipsicz,: Upsilon invariants from cyclic branched covers., Studia SMH, 58 (2021) 457–488, 2021
L. Feher, R. Rimanyi, A. Weber: Characteristic classes of orbit stratifications, the axiomatic approach, Schubert Calculus and Its Applications in Combinatorics and Representation Theory Guangzhou, China, November 2017 Editors: Hu, Jianxun, Li, Changzheng, Mihalcea, Leonardo, 2020
L. Feher, R. Rimanyi, A. Weber: Motivic Chern classes and K-theoretic stable envelopes, Proceedings of the London Mathematical Society, 122, 153-189, 2021
P.Ivanics, A. Stipsicz, Sz. Szabo: Hitchin fibrations on moduli of irregular Higgs bundles and motivic wall-crossing, J. Pure Appl. Algebra 223 (2019), no. 9, 3989–4064., 2019
V. Foldvari: The Knot Invariant Upsilon Using Grid Homologies, Journal of Knot Theory and Its Ramifications, Vol. 30, No. 07, 2150051, 2021
J. Cogolludo-Agustín, T. László, J. Martín-Morales, A. Némethi: Delta invariant of curves on rational surfaces I. The analytic approach,, Communications in Contemporary Mathematics, 2022
J. Nagy, A. Nemethi: The Abel map for surface singularities III. Elliptic germs, Math. Zeitschrift, to appear, 2022
J. Nagy, A. Nemethi: Motivic Poincare series of cusp surface singularities,, Proceedings of {\it Escuela de Matemáticas Llu'\i s Santal'o 2019: p-adic Analysis, Arithmetic and Singularities}, Contemporary Math. to appear, 2022
J. Nagy, A. Nemethi: The dimension of the image of the Abel map associated with normal surface singularities, Selecta new series, 2022
Gábor Damásdi, Viktória Földvári, Márton Naszódi,: Colorful Helly-type Theorems for the Volume of Intersections of Convex Bodies,, Journal of Combinatorial Theory, Series A,, 2020
J. I. Cogolludo-Agustin, T. Laszlo, A. Nemethi, J. Martin-Morales: Local invariants of minimal generic curves on rational surfaces,, Proceedings of {\it Escuela de Matemáticas Llu'\i s Santal'o 2019: p-adic Analysis, Arithmetic and Singularities}, Contemporary Math., to appear, 2022
LM Fehér, ÁK Matszangosz: Halving spaces and lower bounds in real enumerative geometry, Algebraic and Geometric Topology, to appear, 2022
László M. Fehér: Motivic Chern classes of cones, Singularities and Their Interaction with Geometry and Low Dimensional Topology In Honor of András Némethi Editors: Bobadilla, Laszlo, Tamas, Stipsicz pp 181-205, 2020
A. Stipsicz, Z. Szabo: Purely cosmetic surgeries and pretzel knots, Pacific J. Math. 313 (2021), no. 1, 195–211., 2020
Paolo Aceto, Jeffrey Meier, Allison N. Miller, Maggie Miller, JungHwan Park, András I. Stipsicz: Branched covers bounding rational homology balls, Algebr. Geom. Topol. 21 (2021), no. 7, 3569–3599., 2021
Belotto, Curmi, Rond: A proof of A. Gabrielov's rank theorem, Journal de l'école polytechnique, p 1329-1396, tome 8, 2021, 2021
A. Némethi: Surface singularities, Seiberg--Witten invariants of their links and lattice cohomology,, Handbook of Singularities, Volume III, Springer, to appear, 2022
André Belotto da Silva, Lorenzo Fantini, András Némethi Anne Pichon: Polar exploration of complex surface germs, arXiv:2103.15444, 2022
András Némethi, Baldur Sigurdsson: Local Newton nondegenerate Weil divisors in toric varieties, arXiv:2102.02948, 2022
J. Nagy, A. Némethi, T. Okuma: Normal reduction number of normal surface singularities, arXiv:2108.12274, 2022
T. Ágoston, A. Némethi: Analytic lattice cohomology of normal surface singularities, arXiv:2108.12294, 2022
T. Ágoston, A. Némethi: Analytic lattice cohomology of surface singularities, II (the equivariant case),, arXiv:2108.12429, 2022
T. Ágoston, A. Némethi: Analytic lattice cohomology of isolated singularities, arXiv:2109.11266, 2022
LM Fehér, J Nagy: Additive Combinatorics Using Equivariant Cohomology, ISRAEL JOURNAL OF MATHEMATICS, 2022
Sz. Szabó: P=W conjecture in lowest degree for rank 2 over the 5-punctured sphere, arXiv:2103.00932, 2022
A. Dan, A. Romano: Examples of non-flat bundles of rank one, arXiv, 2022
J Nagy: Invariants of relatively generic structures on normal surface singularities, 1910.03275, 2022
T László, J Nagy: Brill-Noether problem on splice quotient singularities and duality of topological Poincaré series, arXiv:2107.02206, 2022
A Stipsicz: Manolescu's work on the triangulation conjecture., Astérisque No. 422, Séminaire Bourbaki. Vol. 2018/2019. Exposés 1151–1165 (2020), 437–468., 2020
A Stipsicz, Z. Szabó: On negative spheres in elliptic surfaces, arXiv:2108.13632, 2022
A Cavallo, A Stipsicz: Traces of links and simply connected 4-manifolds, arXiv:2108.07621, 2022
A. Nemethi: Linear subspace arrangements associated with normal surface singularities,, special volume of Journal of Singularities dedicated to E. Brieskorn, 18 (2018), 464-476, 2018
J. Nagy, A. Nemethi: The Abel map for surface singularities II. Generic analytic structure., Adv. in Math. 371 (2020), 107268., 2018
J. Cogolludo-Agustín, T. László, J. Martín-Morales, A. Némethi: Delta invariant of curves on rational surfaces I. The analytic approach,, Communications in Contemporary Mathematics 24 (2022) no. 7, 2022
J. Nagy, A. Nemethi: The Abel map for surface singularities III. Elliptic germs, Math. Zeitschrift, 300, (2022), 1753--1797., 2022
J. Nagy, A. Nemethi: Motivic Poincare series of cusp surface singularities,, Proceedings of {\it Escuela de Matemáticas Llu'\i s Santal'o 2019: p-adic Analysis, Arithmetic and Singularities}, Contemporary Math. 2022, 259--277., 2022
J. Nagy, A. Nemethi: The dimension of the image of the Abel map associated with normal surface singularities, Selecta new series, 28 (2022), no. 3, Paper No. 58, 38 pp., 2022
A. Némethi, Sz. Szabó,: The Geometric P=W conjecture in the Painlevé cases via plumbing calculus, International Mathematical Research Notices, Volume 2022, Issue 5, March 2022, 3201--3218., 2022
J. I. Cogolludo-Agustin, T. Laszlo, A. Nemethi, J. Martin-Morales: Local invariants of minimal generic curves on rational surfaces,, Proceedings of {\it Escuela de Matemáticas Llu'\i s Santal'o 2019: p-adic Analysis, Arithmetic and Singularities}, Contemporary Math., 2022, 231--258., 2022
André Belotto da Silva, Lorenzo Fantini, András Némethi Anne Pichon: Polar exploration of complex surface germs, Trans. Amer. Math. Soc., 375 (2022), no. 9, 6747--6767., 2022
J. Nagy, A. Némethi, T. Okuma: Normal reduction number of normal surface singularities, EMS volume `Varieties, polyhedra, algorithms', to appear, 2023
Sz. Szabó: Hitchin WKB-problem and P = W conjecture in lowest degree for rank 2 over the 5-punctured sphere, The Quarterly Journal of Mathematics, haac037, https://doi.org/10.1093/qmath/haac037, 2022
A. Dan, A. Romano: Examples of non-flat bundles of rank one, Comptes Rendus - Série Mathématique, elfogadva (arXiv:2204.08080), 2022
A Stipsicz, Z. Szabó: On negative spheres in elliptic surfaces, Proc Amer Math Soc, 151, 417-423, 2023
A Cavallo, A Stipsicz: Traces of links and simply connected 4-manifolds, Bulletin of the London Math Soc, https://doi.org/10.1112/blms.12729, 2022
A. Belotto da Silva, O. Curmi, G. Rond,: On rank Theorems and the Nash points of subanalytic sets, https://arxiv.org/pdf/2205.03079.pdf, 2022
LM Fehér, AP Juhász: Plücker formulas using equivariant cohomology of coincident root strata, arXiv:2312.06430, 2023
A. Cavallo: On Bennequin type inequalities for links in tight contact 3-manifolds, J. Knot Theory Ramifications, 29 (2020), no. 8, 2050055,, 2020
A. Cavallo, C. Collari: Slice-torus concordance invariants and Whitehead doubles of links, Canad. J. Math., 72 (2020), no. 6, pp. 1423-1462,, 2020
Viktória Földvári: Legendrian non-simple two-bridge knots, Periodica Mathematica Hungarica, 79 (2019), no. 1, 12–24., 2019
F. Gironella: Examples of contact mapping classes of infinite order in all dimensions, Algebr. Geom. Topol., Volume 19, Number 3 (2019), 1207-1227., 2019
F. Gironella: On some examples and constructions of contact manifolds, Math. Ann., 2019




 

Events of the project

  
2022-06-09 09:49:29
Résztvevők változása
2021-07-21 15:16:40
Résztvevők változása
2020-09-28 13:54:38
Résztvevők változása
2019-12-13 20:42:55
Résztvevők változása
2018-08-30 16:59:30
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2018-04-26 14:37:23
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