Geodesic
Cohomology rings, Rochlin function, linking pairing and the Goussarov–Habiro theory of three-manifolds
Massuyeau, Gwénaël1
1Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania
Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 1139-1166
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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.

DOI : 10.2140/agt.2003.3.1139
Keywords: $3$–manifold, surgery equivalence relation, calculus of claspers, spin structure

Massuyeau, Gwénaël  1

1 Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700 Bucharest, Romania 
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Massuyeau, Gwénaël. Cohomology rings, Rochlin function, linking pairing and the Goussarov–Habiro theory of three-manifolds. Algebraic and Geometric Topology, Tome 3 (2003) no. 2, pp. 1139-1166. doi: 10.2140/agt.2003.3.1139

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