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arXiv · 1610.04918

Fractional Calabi-Yau Categories from Landau-Ginzburg Models

David Favero·Tyler L. Kelly
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Abstract

We 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 of a gauged Landau-Ginzburg model and a geometric context for crepant categorical resolutions. We explicitly describe our framework in the toric setting. As a consequence, we generalize several theorems and examples of Orlov and Kuznetsov, ending with new examples of semi-orthogonal decompositions containing (fractional) Calabi-Yau categories.

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David Favero, Tyler L. Kelly. 2016-10-16. Fractional Calabi-Yau Categories from Landau-Ginzburg Models. https://arxiv.org/abs/1610.04918

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