Andras I. Stipsicz

Publications (8)0 Total impact

• Source

  Available from: ArXiv

  Article: Combinatorial Heegaard Floer homology and nice Heegaard diagrams

  Peter S. Ozsvath, Andras I. Stipsicz, Zoltan Szabo
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  ABSTRACT: We consider a stabilized version of hat Heegaard Floer homology of a 3-manifold Y (i.e. the U=0 variant of Heegaard Floer homology for closed 3-manifolds). We give a combinatorial algorithm for constructing this invariant, starting from a Heegaard decomposition for Y, and give a combinatorial proof of its invariance properties.
  12/2009;
• Source

  Available from: ArXiv

  Article: Floer homology and singular knots

  Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo
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  ABSTRACT: We define Floer homology theories for oriented, singular knots in S^3 and show that one of these theories can be defined combinatorially for planar singular knots. Comment: Minor revisions
  05/2007;
• Source

  Available from: arxiv.org

  Article: Rational blow-downs and smoothings of surface singularities

  Andras I. Stipsicz, Zoltan Szabo, Jonathan Wahl
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  ABSTRACT: In this paper we give a necessary combinatorial condition for a negative--definite plumbing tree to be suitable for rational blow--down, or to be the graph of a complex surface singularity which admits a rational homology disk smoothing. New examples of surface singularities with rational homology disk smoothings are also presented; these include singularities with resolution graph having valency four nodes.
  12/2006;
• Article: A note on symplectic rational blow--downs

  Andras I. Stipsicz, Zoltan Szabo
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  ABSTRACT: Due to a significant error in the main result (pointed out by J. Wahl), the paper has been withdrawn by the authors. A corrected and expanded version is 'Rational blow-downs and smoothings of surface singularities' by A. Stipsicz, Z. Szabo and J. Wahl.
  12/2005;
• Source

  Available from: ArXiv

  Article: Planar open books and Floer homology

  Peter Ozsvath, Andras I. Stipsicz, Zoltan Szabo
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  ABSTRACT: Giroux has described a correspondence between open book decompositions on a 3--manifold and contact structures. In this paper we use Heegaard Floer homology to give restrictions on contact structures which correspond to open book decompositions with planar pages, generalizing a recent result of Etnyre.
  05/2005;
• Source

  Available from: ArXiv

  Article: Small Exotic 4-manifolds with b_2^+=3

  Andras I. Stipsicz, Zoltan Szabo
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  ABSTRACT: We construct an infinite family of simply connected, pairwise nondiffeomorphic 4-manifolds, all homeomorphic to 3CP^2 blown up at 9 points.
  02/2005;
• Source

  Available from: arxiv.org

  Article: Exotic smooth structures on $CP^2#5{\bar CP^2}$

  Jongil Park, Andras I. Stipsicz, Zoltan Szabo
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  ABSTRACT: Motivated by a construction of Fintushel and Stern, we show that the topological 4--manifold $CP^2#5{\bar CP^2}$ supports infinitely many distinct smooth structures.
  01/2005;
• Source

  Available from: uhasselt.be

  Article: An exotic smooth structure on CP^2+6CP^2-bar

  Andras I. Stipsicz, Zoltan Szabo
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  ABSTRACT: We construct smooth 4-manifolds homeomorphic but not diffeomorphic to CP^2+6CP^2-bar.
  12/2004;