Legendrian Lens Space Surgeries
MICHIGAN MATHEMATICAL JOURNAL, vol.67, no.2, pp.405-422, 2018 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 67 Issue: 2
- Publication Date: 2018
- Doi Number: 10.1307/mmj/1522980162
- Journal Name: MICHIGAN MATHEMATICAL JOURNAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.405-422
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: Yes
Abstract
We show that every tight contact structure on any of the lens spaces L(ns(2)-s+1, s(2)) 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.