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May 2018 Legendrian Lens Space Surgeries
Hansjörg Geiges, Sinem Onaran
Michigan Math. J. 67(2): 405-422 (May 2018). DOI: 10.1307/mmj/1522980162

Abstract

We show that every tight contact structure on any of the lens spaces L(ns2s+1,s2) with n2 and s1 can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative torus knot T(s,(sn1)) in the tight or an overtwisted contact structure on the 3-sphere.

Citation

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Hansjörg Geiges. Sinem Onaran. "Legendrian Lens Space Surgeries." Michigan Math. J. 67 (2) 405 - 422, May 2018. https://doi.org/10.1307/mmj/1522980162

Information

Received: 2 November 2016; Revised: 22 November 2016; Published: May 2018
First available in Project Euclid: 6 April 2018

zbMATH: 06914768
MathSciNet: MR3802259
Digital Object Identifier: 10.1307/mmj/1522980162

Subjects:
Primary: 53D10, 53D35, 57M25, 57R6

Rights: Copyright © 2018 The University of Michigan

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Vol.67 • No. 2 • May 2018
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