A gluing formula for Reidemeister-Turaev torsion

Stefano Borghini

doi:10.1007/s10231-014-0433-3

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arXiv · 1401.0431

A gluing formula for Reidemeister-Turaev torsion

Stefano Borghini

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Abstract

We extend Turaev's theory of Euler structures and torsion invariants on 3-manifolds to the case of vector fields having generic behavior on the boundary. This allows to easily define gluings of Euler structures and to develop a completely general gluing formula for Reidemeister torsion of 3-manifolds. Lastly, we describe a combinatorial presentation of Euler structures via stream-spines, as a tool to effectively compute torsion.

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Stefano Borghini. 2014-01-02. A gluing formula for Reidemeister-Turaev torsion. https://doi.org/10.1007/s10231-014-0433-3

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