Some finiteness properties for the Reidemeister-Turaev torsion of three-manifolds

Gwenael Massuyeau

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Some finiteness properties for the Reidemeister-Turaev torsion of three-manifolds

Gwenael Massuyeau

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Abstract

We prove for the Reidemeister-Turaev torsion of closed oriented three-manifolds some finiteness properties in the sense of Goussarov and Habiro, that is, with respect to some cut-and-paste operations which preserve the homology type of the manifolds. In general, those properties require the manifolds to come equipped with an Euler structure and a homological parametrization.

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Gwenael Massuyeau. 2009-03-04. Some finiteness properties for the Reidemeister-Turaev torsion of three-manifolds. https://arxiv.org/abs/math/0507214

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