A Morse-Bott approach to monopole Floer homology and the Triangulation conjecture
Geometric Topology
2015-02-24 v2 Differential Geometry
Abstract
In the present work we generalize the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped with a spin structure isomorphic to its conjugate, we define the counterpart in this context of Manolescu's recent -equivariant Seiberg-Witten-Floer homology. In particular, we provide an alternative approach to his disproof of the celebrated Triangulation conjecture.
Keywords
Cite
@article{arxiv.1404.4561,
title = {A Morse-Bott approach to monopole Floer homology and the Triangulation conjecture},
author = {Francesco Lin},
journal= {arXiv preprint arXiv:1404.4561},
year = {2015}
}
Comments
160 pages, comments are welcome