English

On the Fukaya Categories of Higher Genus Surfaces

Symplectic Geometry 2007-08-30 v2 Geometric Topology

Abstract

We construct the Fukaya category of a closed surface equipped with an area form using only elementary (essentially combinatorial) methods. We also compute the Grothendieck group of its derived category.

Keywords

Cite

@article{arxiv.math/0606598,
  title  = {On the Fukaya Categories of Higher Genus Surfaces},
  author = {Mohammed Abouzaid},
  journal= {arXiv preprint arXiv:math/0606598},
  year   = {2007}
}

Comments

40 pages, 17 figures. Final Version