English

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

Geometric Topology 2020-11-03 v2 Symplectic Geometry

Abstract

In this paper, sufficient conditions for contact (+1)(+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)(\pm1)-surgeries along Legendrian links in the standard contact 3-sphere. We also obtain a sufficient condition for contact (+1)(+1)-surgeries along Legendrian two-component links in the standard contact 3-sphere to be overtwisted via their front projections.

Keywords

Cite

@article{arxiv.2002.08572,
  title  = {Contact (+1)-surgeries on rational homology 3-spheres},
  author = {Fan Ding and Youlin Li and Zhongtao Wu},
  journal= {arXiv preprint arXiv:2002.08572},
  year   = {2020}
}

Comments

v2. 25 pages, 10 figures