Browsing by Author "Kelly, Tyler Lee"
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Fractional Calabi-Yau Categories from Landau-Ginzburg Models
Kelly, Tyler Lee; Favero, DWe give criteria for the existence of a Serre functor on the derived category of a gauged Landau-Ginzburg model. This is used to provide a general theorem on the existence of an admissible (fractional) Calabi-Yau subcategory ...
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Proof of a conjecture of Batyrev and Nill
Favero, David; Kelly, Tyler Lee (Johns Hopkins University PressAmerican Journal of Mathematics, 2016)We prove equivalences of derived categories for the various mirrors in the Batyrev-Borisov construction. In particular, we obtain a positive answer to a conjecture of Batyrev and Nill. The proof involves passing to an ...