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Legendrian lens space surgeries (1605.07737v1)
Published 25 May 2016 in math.GT and math.SG
Abstract: We show that every tight contact structure on any of the lens spaces $L(ns2-s+1,s2)$ 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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