Legendrian Lens Space Surgeries

Hansjörg Geiges; Sinem Onaran

doi:10.1307/mmj/1522980162

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Home > Journals > Michigan Math. J. > Volume 67 > Issue 2 > Article

May 2018 Legendrian Lens Space Surgeries

Hansjörg Geiges, Sinem Onaran

Michigan Math. J. 67(2): 405-422 (May 2018). DOI: 10.1307/mmj/1522980162

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Abstract

We show that every tight contact structure on any of the lens spaces $L(ns^{2}-s+1,s^{2})$ with $n\geq 2$ and $s\geq 1$ 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.

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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