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Ozsvath-Szabo invariants of contact surgeries

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 Added by Marco Golla
 Publication date 2012
  fields
and research's language is English
 Authors Marco Golla




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We give new tightness criteria for positive surgeries along knots in the 3-sphere, generalising results of Lisca and Stipsicz, and Sahamie. The main tools will be Honda, Kazez and Matics, Ozsvath and Szabos Floer-theoretic contact invariants. We compute the Ozsvath and Szabos invariant of positive contact surgeries along Legendrian knots in the 3-sphere in terms of the classical invariants of the knot. We also combine a Legendrian cabling construction with contact surgeries to get results about rational contact surgeries.



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111 - Fan Ding , Youlin Li , Zhongtao Wu 2020
In this paper, sufficient conditions for contact $(+1)$-surgeries along Legendrian knots in contact rational homology 3-spheres to have vanishing contact invariants or to be overtwisted are given. They can be applied to study contact $(pm1)$-surgeries along Legendrian links in the standard contact 3-sphere. We also obtain a sufficient condition for contact $(+1)$-surgeries along Legendrian two-component links in the standard contact 3-sphere to be overtwisted via their front projections.
115 - Fan Ding , Youlin Li , Zhongtao Wu 2018
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