English

Fukaya category on a symplectic manifold with a B-field

Symplectic Geometry 2025-10-31 v3

Abstract

We describe the formulation of Fukaya categories of symplectic manifolds with BB-fields. In addition, we give a formula for how the AA_\infty structure maps change as we deform an object by a Lagrangian isotopy.

Keywords

Cite

@article{arxiv.2311.04143,
  title  = {Fukaya category on a symplectic manifold with a B-field},
  author = {Haniya Azam and Catherine Cannizzo and Heather Lee and Chiu-Chu Melissa Liu},
  journal= {arXiv preprint arXiv:2311.04143},
  year   = {2025}
}

Comments

23 pages, 3 figures