Variants of equivariant Seiberg-Witten Floer homology

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

For a rational homology 3-sphere $Y$ with a $\spinc$ structure $\s$, we show that simple algebraic manipulations of our construction of equivariant Seiberg-Witten Floer homology lead to a collection of variants which are topological invariants. We establish exact sequences relating them, we show that they satisfy a duality under orientation reversal, and we explain their relation to ou previous construction of equivariant Seiberg-Witten Floer (co)homologies. We conjecture the equivalence of these versions of equivariant Seiberg-Witten Floer homology with the Heegaard Floer invariants introduced by Ozsváth and Szabó.
LaTeX 18 pages

Keywords

Geometric Topology, Differential Geometry, 57R58, 57R57, 58J10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/65669

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0211238
 http://arxiv.org/abs/math/0211238

Collections

arXiv