120 citations · 296 across the 10 of their papers we have counts for
11 papers
Computing Heegaard Floer invariants of closed contact 3-manifolds from open books
Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris +1
We present two SageMath programs that build on and improve upon Sucharit Sarkar's hf-hat. Given an abstract open book and a collection of pairwise disjoint properly embedded arcs o…
Filtering the Heegaard Floer contact invariant
Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris +1
We define an invariant of contact structures in dimension three from Heegaard Floer homology. This invariant takes values in the set . It is zero…
A remark on the geography problem in Heegaard Floer homology
Jonathan Hanselman, Cagatay Kutluhan, Tye Lidman
We give new obstructions to the module structures arising in Heegaard Floer homology. As a corollary, we characterize the possible modules arising as the Heegaard Floer homology of…
Algebraic torsion via Heegaard Floer homology
Cagatay Kutluhan, Gordana Matic, Jeremy Van Horn-Morris +1
We outline Hutchings's prescription that produces an ECH analog of Latschev and Wendl's algebraic -torsion in the context of , a variant of ECH used in a proof of the isomo…
Sutured ECH is a natural invariant
Cagatay Kutluhan, Steven Sivek, C. H. Taubes
We show that sutured embedded contact homology is a natural invariant of sutured contact 3-manifolds which can potentially detect some of the topology of the space of contact struc…
HF=HM V: Seiberg-Witten-Floer homology and handle addition
Cagatay Kutluhan, Yi-Jen Lee, Cliff H. Taubes
This is the last of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold.
HF=HM IV: The Seiberg-Witten Floer homology and ech correspondence
Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes
This is the fourth of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold. T…
HF=HM III: Holomorphic curves and the differential for the ech/Heegaard Floer correspondence
Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes
This is the third of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold. Th…
HF=HM II: Reeb orbits and holomorphic curves for the ech/Heegaard-Floer correspondence
Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes
This is the second of five papers that construct an isomorphism between the Seiberg-Witten Floer homology and the Heegaard Floer homology of a given compact, oriented 3-manifold. T…
HF=HM I : Heegaard Floer homology and Seiberg--Witten Floer homology
Cagatay Kutluhan, Yi-Jen Lee, Clifford Henry Taubes
Let M be a closed, connected and oriented 3-manifold. This article is the first of a five part series that constructs an isomorphism between the Heegaard Floer homology groups of M…
Seiberg-Witten Floer homology and symplectic forms on S^1 X M^3
Cagatay Kutluhan, Clifford Henry Taubes
Let M be a closed, connected, orientable 3-manifold. The purpose of this paper is to study the Seiberg-Witten Floer homology of M given that S^1 X M admits a symplectic form. In pa…