A gluing formula for Reidemeister-Turaev torsion
Geometric Topology
2018-05-08 v1
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.
Keywords
Cite
@article{arxiv.1401.0431,
title = {A gluing formula for Reidemeister-Turaev torsion},
author = {Stefano Borghini},
journal= {arXiv preprint arXiv:1401.0431},
year = {2018}
}
Comments
32 pages, 19 figures