Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Localization for $K$-Contact Manifolds   We prove an analogue of the Atiyah-Bott-Berline-Vergne localization formula
in the setting of equivariant basic cohomology of $K$-contact manifolds. As a
consequence, we deduce analogues of Witten's nonabelian localization and the
Jeffrey-Kirwan residue formula, which relate equivariant basic integrals on a
contact manifold $M$ to basic integrals on the contact quotient $M_0 :=
\mu^{-1}(0)/G$, where $\mu$ denotes the contact moment map for the action of a
torus $G$. In the special case that $M \to N$ is an equivariant Boothby-Wang
fibration, our formulae reduce to the usual ones for the symplectic manifold
$N$.

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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: math-ph