Torsion Invariants of Combed 3-Manifolds with Boundary Pattern and Legendrian Links

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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.
30 pages, 19 figures

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Geometric Topology, 57N10 (Primary), 57Q10, 57R25 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/77445

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9809148
 http://arxiv.org/abs/math/9809148

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arXiv