Legendrian rational unknots in lens spaces

Creative Commons License

GEIGES H., ONARAN S.

JOURNAL OF SYMPLECTIC GEOMETRY, vol.13, no.1, pp.17-50, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.4310/jsg.2015.v13.n1.a2
  • Journal Name: JOURNAL OF SYMPLECTIC GEOMETRY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.17-50
  • Hacettepe University Affiliated: Yes

Abstract

We classify Legendrian rational unknots with tight complements in the lens spaces L(p, 1) up to coarse equivalence. As an example of the general case, this classification is also worked out for L(5, 2). The knots are described explicitly in a contact surgery diagram of the corresponding lens space.