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2003 Cohomology rings, Rochlin function, linking pairing and the Goussarov–Habiro theory of three-manifolds
Gwénaël Massuyeau
Algebr. Geom. Topol. 3(2): 1139-1166 (2003). DOI: 10.2140/agt.2003.3.1139

Abstract

We prove that two closed oriented 3–manifolds have isomorphic quintuplets (homology, space of spin structures, linking pairing, cohomology rings, Rochlin function) if, and only if, they belong to the same class of a certain surgery equivalence relation introduced by Goussarov and Habiro.

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Gwénaël Massuyeau. "Cohomology rings, Rochlin function, linking pairing and the Goussarov–Habiro theory of three-manifolds." Algebr. Geom. Topol. 3 (2) 1139 - 1166, 2003. https://doi.org/10.2140/agt.2003.3.1139

Information

Received: 1 September 2003; Revised: 9 November 2003; Published: 2003
First available in Project Euclid: 21 December 2017

zbMATH: 1056.57009
MathSciNet: MR2012969
Digital Object Identifier: 10.2140/agt.2003.3.1139

Subjects:
Primary: 57M27
Secondary: 57R15

Rights: Copyright © 2003 Mathematical Sciences Publishers

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