Cohomology rings, Rochlin function, linking pairing and the Goussarov--Habiro theory of three--manifolds

Gwenael Massuyeau

doi:10.2140/agt.2003.3.1139

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Cohomology rings, Rochlin function, linking pairing and the Goussarov--Habiro theory of three--manifolds

Gwenael Massuyeau

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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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Gwenael Massuyeau. 2003-07-31. Cohomology rings, Rochlin function, linking pairing and the Goussarov--Habiro theory of three--manifolds. https://doi.org/10.2140/agt.2003.3.1139

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