English

A connected sum formula for embedded contact homology

Symplectic Geometry 2025-01-30 v2

Abstract

Given two closed contact three-manifolds, one can form their contact connected sum via the Weinstein one-handle attachment. We study how pseudo-holomorphic curves in the symplectization behave under this operation. As a result, we give a connected sum formula for embedded contact homology.

Keywords

Cite

@article{arxiv.2305.01646,
  title  = {A connected sum formula for embedded contact homology},
  author = {Luya Wang},
  journal= {arXiv preprint arXiv:2305.01646},
  year   = {2025}
}

Comments

Final version. To appear in Adv. Math

R2 v1 2026-06-28T10:23:46.698Z