Legendrian lens space surgeries

H. Geiges; S. Onaran

doi:10.1307/mmj/1522980162

Legendrian lens space surgeries

H. Geiges
, S. Onaran

Topoloji Anabilim Dalı

University of Cologne

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

3 Alıntılar (Scopus)

Özet

We show that every tight contact structure on any of the lens spaces L(ns² - s + 1, s² ) with n = 2 and s = 1 can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative torus knot T (s, -(sn - 1)) in the tight or an overtwisted contact structure on the 3-sphere.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	405-422
Sayfa sayısı	18
Dergi	Michigan Mathematical Journal
Hacim	67
Basın numarası	2
DOI'lar	https://doi.org/10.1307/mmj/1522980162
Yayın durumu	Yayınlandı - May 2018

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10.1307/mmj/1522980162

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title = "Legendrian lens space surgeries",

abstract = "We show that every tight contact structure on any of the lens spaces L(ns2 - s + 1, s2 ) with n = 2 and s = 1 can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative torus knot T (s, -(sn - 1)) in the tight or an overtwisted contact structure on the 3-sphere.",

author = "H. Geiges and S. Onaran",

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AU - Onaran, S.

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AB - We show that every tight contact structure on any of the lens spaces L(ns2 - s + 1, s2 ) with n = 2 and s = 1 can be obtained by a single Legendrian surgery along a suitable Legendrian realisation of the negative torus knot T (s, -(sn - 1)) in the tight or an overtwisted contact structure on the 3-sphere.

UR - https://www.scopus.com/pages/publications/85047190453

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DO - 10.1307/mmj/1522980162

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Legendrian lens space surgeries

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