Exact triangles in monopole homology and the Casson-Walker invariant
Geometric Topology
2007-05-23 v1
Abstract
We establish the exact triangle in Seiberg-Witten-Floer theory relating the monopoloe homologies of any two closed 3-manifolds which are obtained from each other by -surgery. We also show that the sum of the modified version of the Seiberg-Witten invariants for any closed rational homology 3-sphere over all structures equals to where is the Casson-Walker invariant.
Keywords
Cite
@article{arxiv.math/0101127,
title = {Exact triangles in monopole homology and the Casson-Walker invariant},
author = {Matilde Marcolli and Bai-Ling Wang},
journal= {arXiv preprint arXiv:math/0101127},
year = {2007}
}
Comments
35 pages, 3 figures