Legendrian rational unknots in lens spaces


GEIGES H., ONARAN S.

JOURNAL OF SYMPLECTIC GEOMETRY, cilt.13, ss.17-50, 2015 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 13 Konu: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.4310/jsg.2015.v13.n1.a2
  • Dergi Adı: JOURNAL OF SYMPLECTIC GEOMETRY
  • Sayfa Sayıları: ss.17-50

Özet

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.