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Window shifts, flop equivalences and Grassmannian twists

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arxiv 1206.0219 v2 pith:53BOVWK2 submitted 2012-06-01 math.AG math.RT

Will Donovan , Ed Segal This is my paper · ORCID
classification math.AGmath.RT
keywords autoequivalencesconstructionflopsgivegrassmanniansphericaltwistsalgebraic
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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.

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  1. A single point as a Calabi-Yau zerofold

    hep-th 2025-06 conditional novelty 4.0 of 10

    A single point is realized as the large-volume phase of a non-abelian GLSM, with a non-regular other phase, divergent partition function sums, and a matching mirror period.

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