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Contents Online
Journal of Symplectic Geometry
Volume 20 (2022)
Number 5
Contact $(+1)$-surgeries on rational homology $3$-spheres
Pages: 1037 – 1066
DOI: https://dx.doi.org/10.4310/JSG.2022.v20.n5.a2
Authors
Abstract
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 $(\pm 1)$-surgeries along Legendrian links in the standard contact $3$-sphere. We also obtain a sufficient condition for contact $(+1)$-surgeries along Legendrian twocomponent links in the standard contact $3$-sphere to be overtwisted via their front projections.
Received 12 November 2020
Accepted 19 February 2022
Published 24 April 2023