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arXiv · 1408.6794

The family Floer functor is faithful

Mohammed Abouzaid
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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.

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Mohammed Abouzaid. 2014-08-28. The family Floer functor is faithful. https://arxiv.org/abs/1408.6794

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