The family Floer functor is faithful
Symplectic Geometry
2016-07-12 v2 Algebraic Geometry
Abstract
Family Floer theory yields a functor from the Fukaya category of a symplectic manifold admitting a Lagrangian torus fibration to a (twisted) category of perfect complexes on the mirror rigid analytic space. This functor is shown to be faithful by a degeneration argument involving moduli spaces of annuli.
Keywords
Cite
@article{arxiv.1408.6794,
title = {The family Floer functor is faithful},
author = {Mohammed Abouzaid},
journal= {arXiv preprint arXiv:1408.6794},
year = {2016}
}
Comments
70 pages, 24 figures. Final version, with substantially enhanced exposition, accepted for publication at JEMS