Window shifts, flop equivalences and Grassmannian twists

Abstract

We introduce a new class of autoequivalences that act on the derived categories of certain vector bundles over Grassmannians. These autoequivalences arise from Grassmannian flops: they generalize Seidel-Thomas spherical twists, which can be seen as arising from standard flops. We first give a simple algebraic construction, which is well-suited to explicit computations. We then give a geometric construction using spherical functors which we prove is equivalent.

Improved structure and formatting. Minor edits to some explanations. Added acknowledgements and addresses. 38 pages, 7 figures

References in corpus (1)

• Grassmannian twists on the derived category via spherical functors

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