Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Linear Koszul duality and Fourier transform for convolution algebras   In this paper we prove that the linear Koszul duality isomorphism for
convolution algebras in K-homology defined in a previous paper and the Fourier
transform isomorphism for convolution algebras in Borel-Moore homology are
related by the Chern character. So, Koszul duality appears as a categorical
upgrade of Fourier transform of constructible sheaves. This result explains the
connection between the categorification of the Iwahori-Matsumoto involution for
graded affine Hecke algebras (due to Evens and the first author) and for usual
affine Hecke algebras (obtained in a previous paper).

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The categories of this paper are: cs
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess