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

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dc.creatorBenedetti, Riccardo
dc.creatorPetronio, Carlo
dc.date1998-09-25
dc.date.accessioned2026-07-07T05:26:09Z
dc.date.available2026-07-07T05:26:09Z
dc.descriptionWe 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.
dc.description30 pages, 19 figures
dc.identifierhttps://arxiv.org/abs/math/9809148
dc.identifierhttp://arxiv.org/abs/math/9809148
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77445
dc.subjectGeometric Topology
dc.subject57N10 (Primary), 57Q10, 57R25 (Secondary)
dc.titleTorsion Invariants of Combed 3-Manifolds with Boundary Pattern and Legendrian Links
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