Borromean surgery equivalence of spin 3-manifolds with boundary

2013/02/21 by Contreras, Eva, Habiro, Kazuo
#Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.1302.5303

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.

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