Legendrian framings for two-bridge links

Sebastian Baader, Masaharu Ishikawa

Research output: Contribution to journalArticle


We define the Thurston-Bennequin polytope of a two-component link as the convex hull of all pairs of integers that arise as framings of a Legendrian representative. The main result of this paper is a description of the Thurston-Bennequin polytope for two-bridge links. As an application, we construct non-quasipositive surfaces in R3 all of whose sub-annuli are quasipositive.

Original languageEnglish
Pages (from-to)4513-4520
Number of pages8
JournalProceedings of the American Mathematical Society
Issue number12
Publication statusPublished - 2011 Dec 1


ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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