English

Fukaya categories of two-tori revisited

Quantum Algebra 2018-12-03 v1 High Energy Physics - Theory Algebraic Geometry Symplectic Geometry

Abstract

We construct an A-infinity structure of the Fukaya category explicitly for any flat symplectic two-torus. The structure constants of the non-transversal A-infinity products are obtained as derivatives of those of transversal A-infinity products.

Keywords

Cite

@article{arxiv.1811.12665,
  title  = {Fukaya categories of two-tori revisited},
  author = {Hiroshige Kajiura},
  journal= {arXiv preprint arXiv:1811.12665},
  year   = {2018}
}