Publications of Zoltán Szabó
- Z. Szabó:
An application of the Lovász
local lemma, a new lower bound for
the Van der Waerden number,
Random Structures and Algorithms, I/3 (1990).
- A. Stipsicz and Z. Szabó:
Classification of complex surfaces,
Turkish J. of Mathematics, 18, 1994, 42-52.
-
A. Stipsicz and Z. Szabó:
The smooth classification of elliptic
surfaces with b^+_2>0,
Duke Mathematical Journal, 75, 1994, 1-50.
- A. Stipsicz and Z. Szabó:
Floer homology groups of certain algebraic
links,
Low-dimensional topology, 173-185, Conf. Proc. Lecture Notes Geom.
Topology, III, 1994.
- Z. Szabó:
Irreducible four-manifolds with small Euler characteristics
Topology, 35, 1996, 411-426.
- Z. Szabó Exotic 4-manifolds with b_2^+=1,
Mathematical Research Letters, 3, (1996) 731-741.
- J. W. Morgan, Z. Szabó and C. H. Taubes:
A Product formula for the
Seiberg-Witten invariants and the Generalized Thom Conjecture
Journal of Differential Geometry, 44, (1996) 706-788.
- Z. Szabó: Notes on Seiberg-Witten invariants,
Geometry and Physics, 59-70, Lecture Notes in Pure and Applied Mathematics
184, 1997.
- J. W. Morgan and Z. Szabó: Homotopy K3 surfaces and mod 2
Seiberg-Witten invariants, Mathematical Research Letters, 4, (1997)
17-21.
-
Z. Szabó: On irreducible simply-connected 4-manifolds,
Proceedings of the 5-th
Gokova Geometry-Topology Conference, 41-46 (1997).
- J. W. Morgan and Z. Szabó: Embedded genus 2 surfaces in
four-manifolds, Duke Mathematical Journal, 89, (1997), 577-602.
- J.W. Morgan, T.S. Mrowka and Z. Szabó:
Product formulas along T^3 for Seiberg-Witten invariants,
Mathematical Research Letters, 4, (1997) 915-929.
- Z. Szabó: Simply-connected irreducible
4-manifolds with no symplectic structures,
Inventiones Mathematicae, 132, (1998), 457-466.
- J. W. Morgan and Z. Szabó: On h-cobordisms and
Seiberg-Witten invariants, Topics in symplectic 4-manifolds,
(Irvine, CA, 1996), 117-124, First Int. Press Lect Ser., I.
- J. W. Morgan and Z. Szabó: Embedded tori in 4-manifolds
, Topology, 38, (1999) 479-496.
- J.W. Morgan and Z. Szabó: Complexity of
4-dimensional h-cobordisms, Inventiones
Mathematicae, 136, (1999) 273-286.
- B.D. Park and Z. Szabó: The geography problem for
irreducible symplectic 4-manifolds, Transactions of the
American Mathematical Society, 352, (2000) 3639-3650.
- P. Ozsváth and Z. Szabó:
The Symplectic Thom Conjecture, Annals of Mathematics
151, (2000) 93-124.
- A. Stipsicz and Z. Szabó: Gluing 4-manifolds along
$\Sigma(2,3,11)$, Topology and its applications, 106, (2000) 293-304.
- P. Ozsváth and Z. Szabó: On embedding circle-bundles
in four-manifolds, Mathematical Research Letters, 7, (2000)
657-669.
- P. Ozsváth and Z. Szabó:
Higher type adjunction inequalities in Seiberg-Witten theory,
Journal of Differential Geometry 55 (2000), no. 3, 385--440.
- P. Ozsváth and Z. Szabó:
Absolutely graded Floer homologies and intersections forms for four-manifolds
with boundary, Advances in Mathematics 173 (2003) 179-261.
- P. Ozsváth and Z. Szabó:
On the Floer homology of plumbed 3-manifolds, Geometry and
Topology, 7 (2003) 185-224.
- P. Ozsváth and Z. Szabó:
Heegaard Floer homology and alternating knots, Geometry and Topology,
7 (2003) 225-254.
- P. Ozsváth and Z. Szabó: Knot Floer homology and
the four-ball genus, , Geometry and Topology 7 (2003) 615-639.
- P. Ozsváth and Z. Szabó:
Holomorphic disks
and genus bounds, Geometry and Topology 8 (2004) 311-334.
- P. Ozsváth and Z. Szabó:
Holomorphic triangle invariants and the topology of symplectic
4-manifolds Duke Matematical Journal 121 (2004) 1-34.
- P. Ozsváth and Z. Szabó: Knot Floer homology,
genus bounds and mutation, Topology and its
applications 141 (2004) 59-85.
- P. Ozsváth and Z. Szabó:
Holomorphic disks and knot invariants, Advances in Mathematics, 186 (2004) 58-116.
- P. Ozsváth and Z. Szabó:
Heegaard diagrams and holomorhic disks, Different faces of geometry, (2004)
301-348,
International Mathematics Series.
- P. Ozsváth and Z. Szabó:
Holomorphic disks and topological
invariants for closed three-manifolds, Annals of
Mathematics 159 (2004), no. 3, 1027-1158.
- P. Ozsváth and Z. Szabó:
Holomorphic disks and three-manifold invariants: properties and applications,
Annals of Mathematics 159 (2004) no. 3, 1159-1245.
- P. Ozsváth and Z. Szabó: On Heegaard Floer
homology and Seifert fibered surgeries, Geometry and Topology Monographs,
7, Proceedings of the Casson Fest, (2004) 181-203.
- P. Ozsváth and Z. Szabó:
Knots with unknotting number one and Heegaard Floer homology,
Topology, 44 (2005) 705-745.
- A. Stipsicz and Z. Szabó:
An exotic smooth structure on CP^2#6(-CP^2),
Geometry and Topology, 9 (2005) 813-832.
- P. Ozsváth and Z. Szabó:
On the Heegaard Floer homology of branched double-covers,
Advances in Mathematics 194 (2005) 1-33.
- P. Ozsváth and Z. Szabó:
Heegaard Floer homologies and contact structures, Duke Mathematical Journal, 129
(2005) 39-61.
- P. Ozsváth and Z. Szabó: On knot Floer homology and
lens space surgeries, Topology, 44 (2005) 1281-1300.
- P. Ozsváth and Z. Szabó:
On Heegaard diagrams and holomorphic disks,
European Congress of Mathematics, 769-781, (2005).
- J. Park, A. Stipsicz and Z. Szabó:
Exotic smooth structures on CP^2#5(-CP^2),
Mathematical Research Letters, 12 (2005) 701-712.
- P. Ozsváth and Z. Szabó:
On Park's exotic smooth 4-manifolds,
in Geometry and Topology of Manifolds, Fields Institute
Communications, 47 (2005) 253-260.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Planar open books and Floer homology,
Int. Math. Res. Not. 54 (2005) 3385-3401.
- P. Ozsváth and Z. Szabó:
Holomorphic triangles
and invariants for smooth four-manifolds,
Advances of Mathematics 202 (2006), 326-400.
- A. Stipsicz and Z. Szabó:
Small exotic 4-manifolds with $b_2^+ =3$,
Bull. London Math. Soc. 38 (2006), 501-506.
- P. Ozsváth and Z. Szabó:
An introduction to Heegaard Floer homology,
Clay. Math. Proc. 5 (2006) 3-27.
- P. Ozsváth and Z. Szabó:
Lectures on Heegaard Floer homology,
Clay. Math. Proc. 5 (2006) 29-70.
- P. Ozsváth and Z. Szabó:
Heegaard diagrams and Floer homology,
in International Congress of Mathematicians, Vol. II,
(2006) 1083-1099.
- P. Kronheimer, T. Mrowka, P. Ozsváth and Z. Szabó:
Monopoles and lens space surgeries, Annals of
Mathematics, 165 (2007) 457-546.
- A. Stipsicz, Z. Szabó and A. Szilárd:
Singular fibers in elliptic fibrations on
the rational elliptic surface,
Period. Math. Hungar. (2007), 137-162.
- C. Manolescu, P. Ozsváth, Z. Szabó and D. Thurston:
On combinatorial link Floer homology,
Geomet. Topol. 11 (2007) 2339-2412.
- P. Ozsváth and Z. Szabó:
Knot Floer homology and integer surgeries,
Algebr. Geom. Topol. 8 (2008) 101-153.
- P. Ozsváth and Z. Szabó:
Link Floer homology and the Thurston norm,
J. Amer. Math. Soc. 21 (2008) 615-692.
- A. Stipsicz, Z. Szabó and J. Wahl:
Rational
blowdowns and smoothings of surface singularities,
Journal of Topology, 1 (2008),
477-517.
- P. Ozsváth Z. Szabó and D. Thurston:
Legendrian knots,
transverse knots and combinatorial Floer homology,
Geometry and Topology, 12
(2008), 941-980.
- P. Ozsváth and Z. Szabó: Holomorphic disks, link invariants
and the multi-variable Alexander polynomial,
Algebr. Geom. Topol. 8 (2008) 615-692.
- Z. Szabó:
Lecture notes on Heegaard Floer homology,
Low dimensional topology 197-228,
IAS/Park City Math Ser. 15. Amer. Math. Soc., Providence, 2009.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Floer homology and singular knots,
Journal of Topology, 2 (2009) 380-404.
- P. Lisca, P. Ozsváth, A. Stipsicz and Z. Szabó:
Heegaard Floer invariants of Legendrian knots in contact three-manifolds,
Journal of
the European Mathematical Society, (2009), 1307-1363.
- P. Ozsváth and Z. Szabó:
A cube of resolutions for knot Floer homology,
Journal of Topology, 2 (2009) 865-910.
- P. Ozsváth and Z. Szabó:
Knot Floer homology and rational surgeries,
Algebr. Geom. Topology, 11 (2011) 1-68.
- P. Ozsváth A. Stipsicz and Z. Szabó:
A combinatorial description of the $U^2=0$ version
of Heegaard Floer homology,
International Mathematics Research Notices, (2011), 5412-5448.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Combinatorial Heegaard Floer homology
and nice Heegaard diagrams,
Adv. Math. 231, (2012), 102-171.
- P. Ozsváth, J. Rasmussen and Z. Szabó:
Odd Khovanov homology,
Algebraic and Geometric Topology, 13, (2013), 1465-1488.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Combinatorial
Heegaard Floer homology and sign assignments,
Topology Appl. 166 (2014) 32-65.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Knots in lattice homology,
Comment. Math. Helv. 89 (2014) 783-818.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
A spectral sequence on lattice homology,
Quantum Topology 5 (2014) 487-521.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Grid homology for knots and links,
Mathematical Surveys and Monographs, 208 (2015), 410 pages.
- Z. Szabó:
A geometric spectral sequence in Khovanov homology,
Journal of Topology (2015), 1017-1044.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Knot lattice homology in L-spaces,
J. Knot Theory Ramifications, 25 (2016).
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Concordance homomorphisms from knot Floer homology,
Advances in Mathematics 315 (2017) 366-426.
- S. Sarkar, C. Seed and Z. Szabó:
A perturbation of the geometric spectral sequence in Khovanov homology,
Quantum Topology 8 (2017), 571-628.
- P. Ozsváth, A. Stipsicz and Z. Szabó:
Unoriented knot Floer homology and the unoriented four-ball genus,
International Mathematical Research Notices 17 (2017) 5137-5181.
- P. Ozsváth and Z. Szabó:
Kauffman states, bordered algebras and a bigraded knot invariant,
Advances in Mathematics 328 (2018) 1088-1198.
- P. Ozsváth and Z. Szabó:
An overview of knot Floer homology,
Proc. Sympos. Pure Math 99 (2018) 213-249.
- P. Ozsváth and Z. Szabó:
The Dehn surgery characterization of the trefoil and the figure eight knot,
Journal of Symplectic Geometry (2019), 251-265.
- P. Ozsváth and Z. Szabó:
Bordered knot algebras with matchings,
Quantum Topology 10 (2019) 481-592.
- A. Stipsicz and Z. Szabó:
Purely cosmetic surgeries and pretzel knots,
Pacific Journal of Mathematics 313 (2021) 195-211.
- P. Ozsváth and Z. Szabó:
Algebras with matchings and knot Floer homology,
arXiv:1912.01657.
- P. Ozsváth and Z. Szabó:
Algebras with matchings and link Floer homology,
arXiv:2004.07309.
- A. Stipsicz and Z. Szabó:
A note on thickness of knots,
arXiv:2010.04967.
- A. Stipsicz and Z. Szabó:
On negative spheres in elliptic surfaces,
arXiv:2108.13632.