Invariants for Legendrian knots in lens spaces

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In this paper we define invariants for primitive Legendrian knots in lens spaces L(p,q) for q not equal to 1. The main invariant is a differential graded algebra which is computed from a labeled Lagrangian projection of the pair (L(p,q), K). This invariant is formally similar to a DGA defined by Sabloff which is an invariant for Legendrian knots in smooth S^1-bundles over Riemann surfaces. The second invariant defined for knots in lens spaces takes the form of a DGA enhanced with a free cyclic group action and can be computed from the p-fold cover of the pair (L(p,q), K).
25 pages, 18 figures

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General Topology, 57R17, 57M27

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http://salesiana.dossiersoluciones.com/handle/123456789/217593

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0901.4226
 http://arxiv.org/abs/0901.4226

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arXiv