115 citations · 241 across the 11 of their papers we have counts for
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math.SG2015★ 1 cited
Automatic split-generation for the Fukaya category
Timothy Perutz, Nick Sheridan
We prove a structural result in mirror symmetry for projective Calabi--Yau (CY) manifolds. Let be a connected symplectic CY manifold, whose Fukaya category is…
math.SG2015★ 38 cited
Mirror symmetry: from categories to curve counts
Sheel Ganatra, Timothy Perutz, Nick Sheridan
We work in the setting of Calabi-Yau mirror symmetry. We establish conditions under which Kontsevich's homological mirror symmetry (which relates the derived Fukaya category to the…
math.KT2015★ 16 cited
Formulae in noncommutative Hodge theory
Nick Sheridan
We prove that the cyclic homology of a saturated category admits the structure of a `polarized variation of Hodge structures', building heavily on the work of many autho…