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Legendrian lens space surgeries

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)405-422
Number of pages18
JournalMichigan Mathematical Journal
Volume67
Issue number2
DOIs
Publication statusPublished - May 2018

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