Geodesic
The family Floer functor is faithful
Journal of the European Mathematical Society, Tome 19 (2017) no. 7, pp. 2139-2217 Cet article a éte moissonné depuis la source EMS Press

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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.
DOI : 10.4171/jems/715
Classification : 53-XX, 14-XX
Keywords: Floer homology, Lagrangian torus fibration, rigid analytic spaces, coherent sheaves, homological mirror symmetry 
@article{JEMS_2017_19_7_a6,
     author = {Mohammed Abouzaid},
     title = {The family {Floer} functor is faithful},
     journal = {Journal of the European Mathematical Society},
     pages = {2139--2217},
     year = {2017},
     volume = {19},
     number = {7},
     doi = {10.4171/jems/715},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/715/}
}
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Mohammed Abouzaid. The family Floer functor is faithful. Journal of the European Mathematical Society, Tome 19 (2017) no. 7, pp. 2139-2217. doi: 10.4171/jems/715

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