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Window shifts, flop equivalences and Grassmannian twists

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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.

fields

hep-th 1

years

2025 1

verdicts

CONDITIONAL 1

representative citing papers

A single point as a Calabi-Yau zerofold

hep-th · 2025-06-20 · conditional · novelty 4.0

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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  • A single point as a Calabi-Yau zerofold hep-th · 2025-06-20 · conditional · none · ref 29 · internal anchor

    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.