Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grassmannian twists on the derived category via spherical functors   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 G(r,d) 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.

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The categories of this paper are: chem-ph
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The categories of this paper are: nlin
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin