Contact surgery and transverse invariants

Paolo Lisca, András I. Stipsicz

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

The purpose of this paper is two-fold: (1) to derive new existence results for tight contact structures on closed 3-manifolds presented by integral surgery along knots in S3, and (2) to introduce a new invariant for transverse knots in contact 3-manifolds. Regarding (1), we extend our previous existence results from surgeries along knots of genus g and maximal Thurston- Bennequin number 2g - 1 to surgeries along knots of genus g and maximal self-linking number 2g - 1.

Original languageEnglish
Article numberjtr022
Pages (from-to)817-834
Number of pages18
JournalJournal of Topology
Volume4
Issue number4
DOIs
Publication statusPublished - 2011

ASJC Scopus subject areas

  • Geometry and Topology

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