接触$(+1)$-有理同调$3$-球面上的手术

Pub Date : 2023-04-24 DOI:10.4310/jsg.2022.v20.n5.a2

Fan Ding, Youlin Li, Zhongtao Wu

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引用次数: 0

摘要

本文给出了在接触有理同调球面上沿Legendrian结的接触$(+1)$-整形具有消失的接触不变量或超扭的充分条件。它们可以应用于研究接触$(\pm 1)$-在标准接触$3$-球面上沿Legendrian连杆的手术。我们还得到了在标准接触球面上沿Legendrian双分量连杆的接触$(+1)$-手术通过其前投影被扭转的充分条件。

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Contact $(+1)$-surgeries on rational homology $3$-spheres

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.

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