Exact triangles in Seiberg-Witten Floer theory. Part IV: Z-graded monopole homology

Abstract

Some aspects of the construction of SW Floer homology for manifolds with non-trivial rational homology are analyzed. In particular, the case of manifolds that are obtained as zero-surgery on a knot in a homology sphere, and for torsion spinc structures. We discuss relative invariants in the case of torsion spinc structures.

arXiv comment34 pages

References in corpus (3)

• Equivariant Seiberg-Witten Floer Homology
• Exact triangles in Seiberg-Witten Floer theory. Part II: geometric limits of flow lines
• Exact triangles in Seiberg-Witten Floer theory. Part III: proof of exactness

Cited by in corpus (6)

• Periodic Floer pro-spectra from the Seiberg-Witten equations
• Exact triangles in Seiberg-Witten Floer theory. Part III: proof of exactness
• Exact triangles in Seiberg-Witten Floer theory. Part II: geometric limits of flow lines
• Exact triangles in monopole homology and the Casson-Walker invariant
• Seiberg-Witten-Floer Homology and Gluing Formulae
• The geometric triangle for 3-dimensional Seiberg-Witten monopoles