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

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

2003-07-31

arxiv.org/abs/math/0307396v2

Algebr. Geom. Topol. 3 (2003) 1139-1166

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol3/agt-3-41.abs.html

Scientific paper

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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