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, 1990 I/3.
- 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.
- 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.
- Z. Szabó:
Irreducible four-manifolds with small Euler characteristics
Topology, 35, 1996, 411-426.
- Z. Szabó: Notes on Seiberg-Witten invariants,
Geometry and Physics, 59-70, Lecture Notes in Pure and Applied Mathematics
184, 1997.
- 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 Exotic 4-manifolds with b_2^+=1,
Mathematical Research Letters, 3, (1996) 731-741.
- J. W. Morgan and Z. Szabó: Homotopy K3 surfaces and mod 2
Seiberg-Witten invariants, Mathematical Research Letters, 4, (1997)
17-21.
- J. W. Morgan and Z. Szabó: Embedded genus 2 surfaces in
four-manifolds, Duke Mathematical Journal, 89, (1997), 577-602.
- Z. Szabó: Simply-connected irreducible
4-manifolds with no symplectic structures,
Inventiones Mathematicae, 132, (1998), 457-466.
-
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: 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, T.S. Mrowka and Z. Szabó:
Product formulas along T^3 for Seiberg-Witten invariants,
Mathematical Research Letters, 4, (1997) 915-929.
- 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.
- 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:
The Symplectic Thom Conjecture, Annals of Mathematics
151, (2000) 93-124.
- 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: Embedding circle-bundles
in four-manifolds, Mathematical Research Letters, 7, (2000)
657-669.
- P. Ozsváth and Z. Szabó:
Holomorphic disks and topological
invariants for closed 3-manifolds, Annals of
Mathematics 159 (2004), no. 3, 1027-1158.
- P. Ozsváth and Z. Szabó:
Holomorphic disks and 3-manifold invariants: properties and applications,
Annals of Mathematics 159 (2004) no. 3, 1159-1245.
- P. Ozsváth and Z. Szabó:
Holomorphic triangles
and invariants for smooth 4-manifolds, to appear in
Advances of Mathematics.
- 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:
Holomorphic triangle invariants and the topology of symplectic
4-manifolds Duke Matematical Journal 121 (2004) 1-34.
- 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:
Holomorphic disks and knot invariants, Advances in Mathematics 186 (2004) 58-116.
- P. Ozsváth and Z. Szabó:
Heegaard Floer homology and alternating knots, Geometry and Topology
7 (2003) 225-254.
- P. Ozsváth and Z. Szabó:
Heegaard Floer homologies and contact structures, preprint.
- P. Ozsváth and Z. Szabó: On Heegaard Floer
homology and Seifert fibered surgeries, preprint.
- 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: On knot Floer homology and
lens space surgeries, to appear in Topology.
- P. Ozsváth and Z. Szabó: Knot Floer homology,
genus bounds and mutation, Topology and its
applications 141 (2004) 59-85.
- P. Kronheimer, T. Mrowka, P. Ozsváth and Z. Szabó:
Monopoloes and lens space surgeries, to appear in Annals of
Mathematics.
- P. Ozsváth and Z. Szabó:
Holomorphic disks
and genus bounds,
Geometry and Topology 8 (2004) 311-334.
- P. Ozsváth and Z. Szabó:
Knots with unknotting number one and Heegaard Floer homology,
to appear in Topology.
- P. Ozsváth and Z. Szabó:
Heegaard diagrams and holomorhic disks,, Different faces of geometry, 301-348,
International Mathematics Series.
- P. Ozsváth and Z. Szabó:
On Park's exotic smooth 4-manifolds, ,
to appear in Geometry and Topology of Manifolds, Fields Institute
Communications.
- A. Stipsicz and Z. Szabó:
An exotic smooth structure on CP^2#6(-CP^2), to appear
in Geometry and Topology.
- J. Park, A. Stipsicz and Z. Szabó:
Exotic smooth structures on CP^2#5(-CP^2), to appear
in Mathematical Research Letters.
- P. Ozsváth and Z. Szabó:
An introduction to Heegaard Floer homology,
to appear in the Proceedings of the 2004 Clay Summer School.