Gluing tight contact structures

Details Gluing tight contact structures Gluing tight contact structures

2001-02-04

arxiv.org/abs/math/0102029v1

Mathematics

Geometric Topology

28 pages, 23 figures

Scientific paper

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.

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