The family Floer functor is faithful
Mohammed Abouzaid
Columbia University, New York, USA
Abstract
Family Floer theory is used to construct 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.
Cite this article
Mohammed Abouzaid, The family Floer functor is faithful. J. Eur. Math. Soc. 19 (2017), no. 7, pp. 2139–2217
DOI 10.4171/JEMS/715