Contact (+1) surgeries along Legendrian two-component links

Fan Ding Peking University Youlin Li Shanghai Jiao Tong University Zhongtao Wu Chinese University of Hong Kong

Geometric Analysis and Geometric Topology mathscidoc:2307.15002

Quantum Topol., 11, 295-321, 2020.6
In this paper, we study contact surgeries along Legendrian links in the standard contact 3-sphere. On one hand, we use algebraic methods to prove the vanishing of the contact Ozsváth–Szabó invariant for contact (+1)-surgery along certain Legendrian two component links. The main tool is a link surgery formula for Heegaard Floer homology developed by Manolescu and Ozsváth. On the other hand, we use contact-geometric argument to show the overtwistedness of the contact 3-manifolds obtained by contact (+1)-surgeries along Legendrian two-component links whose two components are linked in some special configurations.
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@inproceedings{fan2020contact,
  title={Contact (+1) surgeries along Legendrian two-component links},
  author={Fan Ding, Youlin Li, and Zhongtao Wu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20230730152508378237754},
  booktitle={Quantum Topol.},
  volume={11},
  pages={295-321},
  year={2020},
}
Fan Ding, Youlin Li, and Zhongtao Wu. Contact (+1) surgeries along Legendrian two-component links. 2020. Vol. 11. In Quantum Topol.. pp.295-321. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20230730152508378237754.
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