English

A unique decomposition theorem for tight contact 3-manifolds

Symplectic Geometry 2008-01-28 v1 Geometric Topology

Abstract

It has been shown by V. Colin that every tight contact 3-manifold can be written as a connected sum of prime manifolds. Here we prove that the summands in this decomposition are unique up to order and contactomorphism.

Keywords

Cite

@article{arxiv.math/0610284,
  title  = {A unique decomposition theorem for tight contact 3-manifolds},
  author = {Fan Ding and Hansjörg Geiges},
  journal= {arXiv preprint arXiv:math/0610284},
  year   = {2008}
}
R2 v1 2026-07-22T17:43:55.218Z