Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Betti numbers of holomorphic symplectic quotients via arithmetic Fourier
  transform   A Fourier transform technique is introduced for counting the number of
solutions of holomorphic moment map equations over a finite field. This in turn
gives information on Betti numbers of holomorphic symplectic quotients. As a
consequence simple unified proofs are obtained for formulas of Poincare
polynomials of toric hyperkahler varieties, Poincare polynomials of Hilbert
schemes of points and twisted ADHM spaces of instantons on C^2 and Poincare
polynomials of all Nakajima quiver varieties. As an application, a proof of a
conjecture of Kac on the number of absolutely indecomposable representations of
a quiver is announced.

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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
3
The categories of this paper are: physics
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The categories of this paper are: supr-con