Fractional Calabi-Yau Categories from Landau-Ginzburg Models
dc.creator | Kelly, Tyler Lee | |
dc.creator | Favero, D | |
dc.date.accessioned | 2017-06-22 | |
dc.date.accessioned | 2018-11-24T23:27:23Z | |
dc.date.available | 2017-11-28T16:16:54Z | |
dc.date.available | 2018-11-24T23:27:23Z | |
dc.identifier | https://www.repository.cam.ac.uk/handle/1810/269773 | |
dc.identifier.uri | http://repository.aust.edu.ng/xmlui/handle/123456789/3975 | |
dc.description.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. | |
dc.publisher | Algebraic Geometry | |
dc.title | Fractional Calabi-Yau Categories from Landau-Ginzburg Models | |
dc.type | Article |
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