Legendrian rational unknots in lens spaces

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GEIGES H., ONARAN S.

JOURNAL OF SYMPLECTIC GEOMETRY, cilt.13, sa.1, ss.17-50, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.4310/jsg.2015.v13.n1.a2
  • Dergi Adı: JOURNAL OF SYMPLECTIC GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.17-50
  • Hacettepe Üniversitesi Adresli: Evet

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.