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arXiv · 1302.5303

Borromean surgery equivalence of spin 3-manifolds with boundary

Eva Contreras·Kazuo Habiro
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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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Eva Contreras, Kazuo Habiro. 2013-02-21. Borromean surgery equivalence of spin 3-manifolds with boundary. https://arxiv.org/abs/1302.5303

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