Homology cobordism and classical knot invariants
Geometric Topology
2007-05-23 v1
Abstract
In this paper we define and investigate Z/2-homology cobordism invariants of Z/2-homology 3-spheres which turn out to be related to classical invariants of knots. As an application we show that many lens spaces have infinite order in the Z/2-homology cobordism group and we prove a lower bound for the slice genus of a knot on which integral surgery yields a given Z/2-homology sphere. We also give some new examples of 3-manifolds which cannot be obtained by integral surgery on a knot.
Keywords
Cite
@article{arxiv.math/0104042,
title = {Homology cobordism and classical knot invariants},
author = {Christian Bohr and Ronnie Lee},
journal= {arXiv preprint arXiv:math/0104042},
year = {2007}
}