Gluing tight contact structures

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We prove gluing theorems for tight contact structures. In particular, we rederive (as special cases) gluing theorems due to Colin and Makar-Limanov, and present an algorithm for determining whether a given contact structure on a handlebody is tight. As applications, we construct a tight contact structure on a genus 4 handlebody which becomes overtwisted after Legendrian -1 surgery, and study certain Legendrian surgeries on T^3.
28 pages, 23 figures

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Geometric Topology, Differential Geometry, Symplectic Geometry, 57M50, 53C15

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http://salesiana.dossiersoluciones.com/handle/123456789/60888

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0102029
 http://arxiv.org/abs/math/0102029

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arXiv