2022
DOI: 10.4310/jsg.2022.v20.n5.a2
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Contact $(+1)$-surgeries on rational homology $3$-spheres

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 (±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.

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