Torsion Invariants of Combed 3-Manifolds with Boundary Pattern and Legendrian Links
Geometric Topology
2007-05-23 v1
Abstract
We extend Turaev's definition of torsion invariants of 3-dimensional manifolds equipped with non-singular vector fields, by allowing (suitable) tangency circles to the boundary, and manifolds with non-zero Euler characteristic. We show that these invariants apply in particular to (the exterior of) Legendrian links in contact 3-manifolds. Our approach uses a combinatorial encoding of vector fields, based on standard spines. In this paper we extend this encoding from closed manifolds to manifolds with boundary.
Keywords
Cite
@article{arxiv.math/9809148,
title = {Torsion Invariants of Combed 3-Manifolds with Boundary Pattern and Legendrian Links},
author = {Riccardo Benedetti and Carlo Petronio},
journal= {arXiv preprint arXiv:math/9809148},
year = {2007}
}
Comments
30 pages, 19 figures