Floer homology of Brieskorn homology spheres: solution to Atiyah's problem
Geometric Topology
2009-09-25 v1
Abstract
In this paper we answer the question posed by M.~Atiyah and give an explicit formula for Floer homology of Brieskorn homology spheres in terms of their branching sets over the 3--sphere. We further show how Floer homology is related to other invariants of knots and 3--manifolds, among which are the --invariant of W.~Neumann and L.~Siebenmann and the Jones polynomial. Essential progress is made in proving the homology cobordism invariance of our own --invariant.
Keywords
Cite
@article{arxiv.math/9701211,
title = {Floer homology of Brieskorn homology spheres: solution to Atiyah's problem},
author = {Nikolai Saveliev},
journal= {arXiv preprint arXiv:math/9701211},
year = {2009}
}