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 two-component links in the standard contact 3-sphere to be overtwisted via their front projections.

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