Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New derived symmetries of some hyperk\"ahler varieties   We construct a new autoequivalence of the derived category of the Hilbert
scheme of n points on a K3 surface, and of the variety of lines on a smooth
cubic 4-fold. For Hilb^2 and the variety of lines, we use the theory of
spherical functors; to deal with Hilb^n for n > 2 we develop a theory of
P-functors. We conjecture that the same construction yields an autoequivalence
for any moduli space of sheaves on a K3 surface.
  In an appendix we give a cohomology and base change criterion which is
well-known to experts, but not well-documented.

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The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: physics
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: bayes-an