English

Contact structures, sutured Floer homology and TQFT

Geometric Topology 2008-07-16 v1

Abstract

We describe the natural gluing map on sutured Floer homology which is induced by the inclusion of one sutured manifold (M',\Gamma') into a larger sutured manifold (M,\Gamma), together with a contact structure on M-M'. As an application of this gluing map, we produce a (1+1)-dimensional TQFT by dimensional reduction and study its properties.

Keywords

Cite

@article{arxiv.0807.2431,
  title  = {Contact structures, sutured Floer homology and TQFT},
  author = {Ko Honda and William H. Kazez and Gordana Matic},
  journal= {arXiv preprint arXiv:0807.2431},
  year   = {2008}
}

Comments

37 pages, 19 figures

R2 v1 2026-06-21T11:00:51.980Z