Grassmannian twists on the derived category via spherical functors

Will Donovan

Research output: Contribution to journalArticlepeer-review

Abstract

We construct new examples of derived autoequivalences for a family of higher-dimensional Calabi–Yau varieties. Specifically, we take the total spaces of certain natural vector bundles over Grassmannians Graphic of r-planes in a d-dimensional vector space, and define endofunctors of the bounded derived categories of coherent sheaves associated to these varieties. In the case r = 2, we show that these are autoequivalences using the theory of spherical functors. Our autoequivalences naturally generalize the Seidel–Thomas spherical twist for analogous bundles over projective spaces.
Original languageEnglish
JournalProceedings of the London Mathematical Society
Early online date23 Apr 2013
DOIs
Publication statusPublished - 2013

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