Publications of Zoltán Szabó


  1. 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).
  2. A. Stipsicz and Z. Szabó: Classification of complex surfaces, Turkish J. of Mathematics, 18, 1994, 42-52.
  3. A. Stipsicz and Z. Szabó: The smooth classification of elliptic surfaces with b^+_2>0, Duke Mathematical Journal, 75, 1994, 1-50.
  4. 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.
  5. Z. Szabó: Irreducible four-manifolds with small Euler characteristics Topology, 35, 1996, 411-426.
  6. Z. Szabó Exotic 4-manifolds with b_2^+=1, Mathematical Research Letters, 3, (1996) 731-741.
  7. 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.
  8. Z. Szabó: Notes on Seiberg-Witten invariants, Geometry and Physics, 59-70, Lecture Notes in Pure and Applied Mathematics 184, 1997.
  9. J. W. Morgan and Z. Szabó: Homotopy K3 surfaces and mod 2 Seiberg-Witten invariants, Mathematical Research Letters, 4, (1997) 17-21.
  10. Z. Szabó: On irreducible simply-connected 4-manifolds, Proceedings of the 5-th Gokova Geometry-Topology Conference, 41-46 (1997).
  11. J. W. Morgan and Z. Szabó: Embedded genus 2 surfaces in four-manifolds, Duke Mathematical Journal, 89, (1997), 577-602.
  12. 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.
  13. Z. Szabó: Simply-connected irreducible 4-manifolds with no symplectic structures, Inventiones Mathematicae, 132, (1998), 457-466.
  14. 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.
  15. J. W. Morgan and Z. Szabó: Embedded tori in 4-manifolds , Topology, 38, (1999) 479-496.
  16. J.W. Morgan and Z. Szabó: Complexity of 4-dimensional h-cobordisms, Inventiones Mathematicae, 136, (1999) 273-286.
  17. B.D. Park and Z. Szabó: The geography problem for irreducible symplectic 4-manifolds, Transactions of the American Mathematical Society, 352, (2000) 3639-3650.
  18. P. Ozsváth and Z. Szabó: The Symplectic Thom Conjecture, Annals of Mathematics 151, (2000) 93-124.
  19. A. Stipsicz and Z. Szabó: Gluing 4-manifolds along $\Sigma(2,3,11)$, Topology and its applications, 106, (2000) 293-304.
  20. P. Ozsváth and Z. Szabó: On embedding circle-bundles in four-manifolds, Mathematical Research Letters, 7, (2000) 657-669.
  21. P. Ozsváth and Z. Szabó: Higher type adjunction inequalities in Seiberg-Witten theory, Journal of Differential Geometry 55 (2000), no. 3, 385--440.
  22. P. Ozsváth and Z. Szabó: Absolutely graded Floer homologies and intersections forms for four-manifolds with boundary, Advances in Mathematics 173 (2003) 179-261.
  23. P. Ozsváth and Z. Szabó: On the Floer homology of plumbed 3-manifolds, Geometry and Topology, 7 (2003) 185-224.
  24. P. Ozsváth and Z. Szabó: Heegaard Floer homology and alternating knots, Geometry and Topology, 7 (2003) 225-254.
  25. P. Ozsváth and Z. Szabó: Knot Floer homology and the four-ball genus, , Geometry and Topology 7 (2003) 615-639.
  26. P. Ozsváth and Z. Szabó: Holomorphic disks and genus bounds, Geometry and Topology 8 (2004) 311-334.
  27. P. Ozsváth and Z. Szabó: Holomorphic triangle invariants and the topology of symplectic 4-manifolds Duke Matematical Journal 121 (2004) 1-34.
  28. P. Ozsváth and Z. Szabó: Knot Floer homology, genus bounds and mutation, Topology and its applications 141 (2004) 59-85.
  29. P. Ozsváth and Z. Szabó: Holomorphic disks and knot invariants, Advances in Mathematics, 186 (2004) 58-116.
  30. P. Ozsváth and Z. Szabó: Heegaard diagrams and holomorhic disks, Different faces of geometry, (2004) 301-348, International Mathematics Series.
  31. P. Ozsváth and Z. Szabó: Holomorphic disks and topological invariants for closed three-manifolds, Annals of Mathematics 159 (2004), no. 3, 1027-1158.
  32. P. Ozsváth and Z. Szabó: Holomorphic disks and three-manifold invariants: properties and applications, Annals of Mathematics 159 (2004) no. 3, 1159-1245.
  33. 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.
  34. P. Ozsváth and Z. Szabó: Knots with unknotting number one and Heegaard Floer homology, Topology, 44 (2005) 705-745.
  35. A. Stipsicz and Z. Szabó: An exotic smooth structure on CP^2#6(-CP^2), Geometry and Topology, 9 (2005) 813-832.
  36. P. Ozsváth and Z. Szabó: On the Heegaard Floer homology of branched double-covers, Advances in Mathematics 194 (2005) 1-33.
  37. P. Ozsváth and Z. Szabó: Heegaard Floer homologies and contact structures, Duke Mathematical Journal, 129 (2005) 39-61.
  38. P. Ozsváth and Z. Szabó: On knot Floer homology and lens space surgeries, Topology, 44 (2005) 1281-1300.
  39. P. Ozsváth and Z. Szabó: On Heegaard diagrams and holomorphic disks, European Congress of Mathematics, 769-781, (2005).
  40. J. Park, A. Stipsicz and Z. Szabó: Exotic smooth structures on CP^2#5(-CP^2), Mathematical Research Letters, 12 (2005) 701-712.
  41. 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.
  42. P. Ozsváth, A. Stipsicz and Z. Szabó: Planar open books and Floer homology, Int. Math. Res. Not. 54 (2005) 3385-3401.
  43. P. Ozsváth and Z. Szabó: Holomorphic triangles and invariants for smooth four-manifolds, Advances of Mathematics 202 (2006), 326-400.
  44. A. Stipsicz and Z. Szabó: Small exotic 4-manifolds with $b_2^+ =3$, Bull. London Math. Soc. 38 (2006), 501-506.
  45. P. Ozsváth and Z. Szabó: An introduction to Heegaard Floer homology, Clay. Math. Proc. 5 (2006) 3-27.
  46. P. Ozsváth and Z. Szabó: Lectures on Heegaard Floer homology, Clay. Math. Proc. 5 (2006) 29-70.
  47. P. Ozsváth and Z. Szabó: Heegaard diagrams and Floer homology, in International Congress of Mathematicians, Vol. II, (2006) 1083-1099.
  48. P. Kronheimer, T. Mrowka, P. Ozsváth and Z. Szabó: Monopoles and lens space surgeries, Annals of Mathematics, 165 (2007) 457-546.
  49. A. Stipsicz, Z. Szabó and A. Szilárd: Singular fibers in elliptic fibrations on the rational elliptic surface, Period. Math. Hungar. (2007), 137-162.
  50. C. Manolescu, P. Ozsváth, Z. Szabó and D. Thurston: On combinatorial link Floer homology, Geomet. Topol. 11 (2007) 2339-2412.
  51. P. Ozsváth and Z. Szabó: Knot Floer homology and integer surgeries, Algebr. Geom. Topol. 8 (2008) 101-153.
  52. P. Ozsváth and Z. Szabó: Link Floer homology and the Thurston norm, J. Amer. Math. Soc. 21 (2008) 615-692.
  53. A. Stipsicz, Z. Szabó and J. Wahl: Rational blowdowns and smoothings of surface singularities, Journal of Topology, 1 (2008), 477-517.
  54. P. Ozsváth Z. Szabó and D. Thurston: Legendrian knots, transverse knots and combinatorial Floer homology, Geometry and Topology, 12 (2008), 941-980.
  55. P. Ozsváth and Z. Szabó: Holomorphic disks, link invariants and the multi-variable Alexander polynomial, Algebr. Geom. Topol. 8 (2008) 615-692.
  56. Z. Szabó: Lecture notes on Heegaard Floer homology, Low dimensional topology 197-228, IAS/Park City Math Ser. 15. Amer. Math. Soc., Providence, 2009.
  57. P. Ozsváth, A. Stipsicz and Z. Szabó: Floer homology and singular knots, Journal of Topology, 2 (2009) 380-404.
  58. 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.
  59. P. Ozsváth and Z. Szabó: A cube of resolutions for knot Floer homology, Journal of Topology, 2 (2009) 865-910.
  60. P. Ozsváth and Z. Szabó: Knot Floer homology and rational surgeries, Algebr. Geom. Topology, 11 (2011) 1-68.
  61. 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.
  62. P. Ozsváth, A. Stipsicz and Z. Szabó: Combinatorial Heegaard Floer homology and nice Heegaard diagrams, Adv. Math. 231, (2012), 102-171.
  63. P. Ozsváth, J. Rasmussen and Z. Szabó: Odd Khovanov homology, Algebraic and Geometric Topology, 13, (2013), 1465-1488.
  64. P. Ozsváth, A. Stipsicz and Z. Szabó: Combinatorial Heegaard Floer homology and sign assignments, Topology Appl. 166 (2014) 32-65.
  65. P. Ozsváth, A. Stipsicz and Z. Szabó: Knots in lattice homology, Comment. Math. Helv. 89 (2014) 783-818.
  66. P. Ozsváth, A. Stipsicz and Z. Szabó: A spectral sequence on lattice homology, Quantum Topology 5 (2014) 487-521.
  67. P. Ozsváth, A. Stipsicz and Z. Szabó: Grid homology for knots and links, Mathematical Surveys and Monographs, 208 (2015), 410 pages.
  68. Z. Szabó: A geometric spectral sequence in Khovanov homology, Journal of Topology (2015), 1017-1044.
  69. P. Ozsváth, A. Stipsicz and Z. Szabó: Knot lattice homology in L-spaces, J. Knot Theory Ramifications, 25 (2016).
  70. P. Ozsváth, A. Stipsicz and Z. Szabó: Concordance homomorphisms from knot Floer homology, Advances in Mathematics 315 (2017) 366-426.
  71. S. Sarkar, C. Seed and Z. Szabó: A perturbation of the geometric spectral sequence in Khovanov homology, Quantum Topology 8 (2017), 571-628.
  72. 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.
  73. P. Ozsváth and Z. Szabó: Kauffman states, bordered algebras and a bigraded knot invariant, Advances in Mathematics 328 (2018) 1088-1198.
  74. P. Ozsváth and Z. Szabó: An overview of knot Floer homology, Proc. Sympos. Pure Math 99 (2018) 213-249.
  75. P. Ozsváth and Z. Szabó: The Dehn surgery characterization of the trefoil and the figure eight knot, Journal of Symplectic Geometry (2019), 251-265.
  76. P. Ozsváth and Z. Szabó: Bordered knot algebras with matchings, Quantum Topology 10 (2019) 481-592.
  77. A. Stipsicz and Z. Szabó: Purely cosmetic surgeries and pretzel knots, Pacific Journal of Mathematics 313 (2021) 195-211.
  78. P. Ozsváth and Z. Szabó: Algebras with matchings and knot Floer homology, arXiv:1912.01657.
  79. P. Ozsváth and Z. Szabó: Algebras with matchings and link Floer homology, arXiv:2004.07309.
  80. A. Stipsicz and Z. Szabó: A note on thickness of knots, arXiv:2010.04967.
  81. A. Stipsicz and Z. Szabó: On negative spheres in elliptic surfaces, arXiv:2108.13632.