Borromean surgery equivalence of spin 3-manifolds with boundary
Algebraic Topology
2013-07-09 v2 Geometric Topology
Abstract
Matveev introduced Borromean surgery on 3-manifolds, and proved that the equivalence relation on closed, oriented 3-manifolds generated by Borromean surgeries is characterized by the first homology group and the torsion linking pairing. Massuyeau generalized this result to closed, spin 3-manifolds, and the second author to compact, oriented 3-manifolds with boundary. In this paper we give a partial generalization of these results to compact, spin 3-manifolds with boundary.
Cite
@article{arxiv.1302.5303,
title = {Borromean surgery equivalence of spin 3-manifolds with boundary},
author = {Eva Contreras and Kazuo Habiro},
journal= {arXiv preprint arXiv:1302.5303},
year = {2013}
}