Legendrian Lens Space Surgeries
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OWP2016_10.pdf (280.7Kb)Date
2016-06-17MFO Scientific Program
Research in Pairs 2016Series
Oberwolfach Preprints;2016,10Metadata
Show full item recordOWP-2016-10
Abstract
We show that every tight contact structure on any of the lens spaces $L(ns^2 - s + 1,s^2)$ with $n\geq 2, s \geq 1$, 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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