HF=HM III: Holomorphic curves and the differential for the ech/Heegaard Floer correspondence

Autor:	Kutluhan, Cagatay, Lee, Yi-Jen, Taubes, Clifford Henry
Rok vydání:	2010
Předmět:	Mathematics - Symplectic Geometry Mathematics - Geometric Topology 53D42
Zdroj:	Geom. Topol. 24 (2020) 3013-3218
Druh dokumentu:	Working Paper
DOI:	10.2140/gt.2020.24.3013
Popis:	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 first of these relates a version of embedded contact homology on an an auxillary manifold to the Heegaard Floer homology on the original. This paper describes the relationship between the differential on the embedded contact homology chain complex and the differential on the Heegaard Floer chain complex. The paper also describes the relationship between the various canonical endomorphisms that act on the homology groups of these two complexes. Comment: various typos corrected in this new version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1010.3456 Zobrazit plný text záznamu View this record from Arxiv