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December 2007 Spines, Heegaard Splittings and the Reidemeister-Turaev Torsion
Yuya KODA
Tokyo J. Math. 30(2): 417-439 (December 2007). DOI: 10.3836/tjm/1202136686

Abstract

In this article, we introduce a formula for the Reidemeister-Turaev torsion $\tau^{\varphi}(M, [\mathcal{V}], \mathfrak{o}_M)$ of an arbitrary closed 3-manifold $M$ equipped with a Spin$^c$ structure $[\mathcal{V}]$. As a CW-structure of $M$ needed in the process of the computation, we adopt the one induced from a Heegaard splitting which is compatible, via the concept of flow-spine, with a given Spin$^c$ structure.

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Yuya KODA. "Spines, Heegaard Splittings and the Reidemeister-Turaev Torsion." Tokyo J. Math. 30 (2) 417 - 439, December 2007. https://doi.org/10.3836/tjm/1202136686

Information

Published: December 2007
First available in Project Euclid: 4 February 2008

zbMATH: 1146.57019
MathSciNet: MR2376519
Digital Object Identifier: 10.3836/tjm/1202136686

Rights: Copyright © 2007 Publication Committee for the Tokyo Journal of Mathematics

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Vol.30 • No. 2 • December 2007
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