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4-manifolds and Kirby calculus

- Robert E. Gompf, A. Stipsicz
- Mathematics
- 1999

4-manifolds: Introduction Surfaces in 4-manifolds Complex surfaces Kirby calculus: Handelbodies and Kirby diagrams Kirby calculus More examples Applications: Branched covers and resolutions Elliptic… Expand

Heegard Floer invariants of Legendrian knots in contact three-manifolds

- P. Lisca, Peter S. Ozsv'ath, A. Stipsicz, Zolt'an Szab'o
- Mathematics
- 5 February 2008

We define invariants of null–homologous Legendrian and transverse
knots in contact 3–manifolds. The invariants are determined by elements
of the knot Floer homology of the underlying smooth knot.… Expand

Grid Homology for Knots and Links

- P. Ozsvath, A. Stipsicz, Z. Szabó
- Mathematics
- 4 December 2015

* Introduction* Knots and links in $S^3$* Grid diagrams* Grid homology* The invariance of grid homology* The unknotting number and $\tau$* Basic properties of grid homology* The slice genus and… Expand

Concordance homomorphisms from knot Floer homology

- P. Ozsvath, A. Stipsicz, Z. Szabó
- Mathematics
- 7 July 2014

Abstract We modify the construction of knot Floer homology to produce a one-parameter family of homologies tHFK for knots in S 3 . These invariants can be used to give homomorphisms from the smooth… Expand

Ozsvath-Szabo invariants and tight contact three-manifolds, I

- P. Lisca, A. Stipsicz
- Mathematics
- 6 April 2004

Let S 3 r (K) be the oriented 3-manifold obtained by rational r-surgery on a knot K ⊂ S 3 . Using the contact Ozsvath-SzabO invariants we prove, for a class of knots K containing all the algebraic… Expand

Indecomposability of certain Lefschetz fibrations

- A. Stipsicz
- Mathematics
- 25 October 2000

We prove that Lefschetz fibrations admitting a section of square -1 cannot be decomposed as fiber sums. In particular, Lefschetz fibrations on symplectic 4-manifolds found by Donaldson are… Expand

Surgery diagrams for contact 3-manifolds

- Fan Ding, H. Geiges, A. Stipsicz
- Mathematics
- 17 July 2003

In two previous papers, the two first-named authors introduced a notion of contact r-surgery along Legendrian knots in contact 3-manifolds. They also showed how (at least in principle) to convert any… Expand

Surgery on Contact 3-Manifolds and Stein Surfaces

- B. Ozbagci, A. Stipsicz
- Mathematics
- 12 January 2005

1. Introduction.- 2. Topological Surgeries.- 3. Symplectic 4-Manifolds.- 4. Contact 3-Manifolds.- 5. Convex Surfaces in Contact 3-Manifolds.- 6. Spinc Structures on 3- and 4-Manifolds.- 7. Symplectic… Expand

Contact surgeries and the transverse invariant in knot Floer homology

- P. Ozsvath, A. Stipsicz
- MathematicsJournal of the Institute of Mathematics of…
- 8 March 2008

Abstract We study naturality properties of the transverse invariant in knot Floer homology under contact (+1)-surgery. This can be used as a calculational tool for the transverse invariant. As a… Expand

Unoriented knot Floer homology and the unoriented four-ball genus

- P. Ozsvath, A. Stipsicz, Z. Szabó
- Mathematics
- 13 August 2015

In an earlier work, we introduced a family of t-modified knot Floer homologies, defined by modifying the construction of knot Floer homology HFK-minus. The resulting groups were then used to define… Expand

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