Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Kutluhan, Cagatay"'
We define an invariant of contact structures in dimension three from Heegaard Floer homology. This invariant takes values in the set $\mathbb{Z}_{\geq0}\cup\{\infty\}$. It is zero for overtwisted contact structures, $\infty$ for Stein fillable contac
Externí odkaz:
http://arxiv.org/abs/1603.02673
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 an integer homology sphere with one-dimensional reduced Floer homolog
Externí odkaz:
http://arxiv.org/abs/1506.05020
We outline Hutchings's prescription that produces an ECH analog of Latschev and Wendl's algebraic $k$-torsion in the context of $ech$, a variant of ECH used in a proof of the isomorphism between Heegaard Floer and Seiberg-Witten Floer homologies; and
Externí odkaz:
http://arxiv.org/abs/1503.01685
Publikováno v:
Mem. Amer. Math. Soc. 275 (2022), no. 1350, iii+136 pp
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 structures on a 3-manifold with boundary. The appendix, by C. H. Taubes, pr
Externí odkaz:
http://arxiv.org/abs/1312.3600
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.
Comment: 276 pages
Comment: 276 pages
Externí odkaz:
http://arxiv.org/abs/1204.0115
Publikováno v:
Geom. Topol. 24 (2020) 3219-3469
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. The isomorphism is given as a composition of three isomorphisms; the fi
Externí odkaz:
http://arxiv.org/abs/1107.2297
Publikováno v:
Geom. Topol. 24 (2020) 3013-3218
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. The isomorphism is given as a composition of three isomorphisms; the fir
Externí odkaz:
http://arxiv.org/abs/1010.3456
Publikováno v:
Geom. Topol. 24 (2020) 2855-3012
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. The isomorphism is given as a composition of three isomorphisms; the fi
Externí odkaz:
http://arxiv.org/abs/1008.1595
Publikováno v:
Geom. Topol. 24 (2020) 2829-2854
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 and the corresponding Seiberg-Witten Floer homology groups of M.
Externí odkaz:
http://arxiv.org/abs/1007.1979
Publikováno v:
Geom. Topol. 13 (2009) 493-525
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 particular, we prove that M fibers over the circle if M has first Betti
Externí odkaz:
http://arxiv.org/abs/0804.1371