English

Convex decomposition theory

Geometric Topology 2007-05-23 v1

Abstract

We use convex decomposition theory to (1) reprove the existence of a universally tight contact structure on every irreducible 3-manifold with nonempty boundary, and (2) prove that every toroidal 3-manifold carries infinitely many nonisotopic, nonisomorphic tight contact structures.

Keywords

Cite

@article{arxiv.math/0102022,
  title  = {Convex decomposition theory},
  author = {Ko Honda and William H. Kazez and Gordana Matic},
  journal= {arXiv preprint arXiv:math/0102022},
  year   = {2007}
}

Comments

23 pages, 7 figures