The Michigan Mathematical Journal

Legendrian Lens Space Surgeries

Hansjörg Geiges and Sinem Onaran

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Abstract

We show that every tight contact structure on any of the lens spaces L(ns2−s+1,s2) with n≥2 and s≥1 can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative torus knot T(s,−(sn−1)) in the tight or an overtwisted contact structure on the 3-sphere.

Article information

Source
Michigan Math. J., Volume 67, Issue 2 (2018), 405-422.

Dates
Received: 2 November 2016
Revised: 22 November 2016
First available in Project Euclid: 6 April 2018

Permanent link to this document
https://projecteuclid.org/euclid.mmj/1522980162

Digital Object Identifier
doi:10.1307/mmj/1522980162

Mathematical Reviews number (MathSciNet)
MR3802259

Zentralblatt MATH identifier
06914768

Subjects
Primary: 53D35: Global theory of symplectic and contact manifolds [See also 57Rxx] 53D10: Contact manifolds, general 57M25: Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57R6

Citation

Geiges, Hansjörg; Onaran, Sinem. Legendrian Lens Space Surgeries. Michigan Math. J. 67 (2018), no. 2, 405--422. doi:10.1307/mmj/1522980162. https://projecteuclid.org/euclid.mmj/1522980162


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