Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Witten localization and abelianization for qde solutions   We prove a quantum version of the localization formula of Witten that relates
invariants of a git quotient with the equivariant invariants of the action.
Using the formula we prove a quantum version of an abelianization formula of S.
Martin relating invariants of geometric invariant theory quotients by a group
and its maximal torus, conjectured by Bertram, Ciocan-Fontanine, and Kim. By
similar techniques we prove a quantum Lefschetz principle for holomorphic
symplectic reductions. As an application, we give a formula for the fundamental
solution to the quantum differential equation (qde) for the moduli space of
points on the projective line and for the smoothed moduli space of framed
sheaves on the projective plane (a Nakajima quiver variety).

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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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: cmp-lg
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The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: physics