Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Equivariant cohomology theory of twisted generalized complex
  manifolds   It has been shown recently by Kapustin and Tomasiello that the mathematical
notion of Hamiltonian actions on twisted generalized K\"ahler manifolds is in
perfect agreement with the physical notion of general $(2,2)$ gauged sigma
models with three-form fluxes. In this article, we study the twisted
equivariant cohomology theory of Hamiltonian actions on $H$-twisted generalized
complex manifolds. If the manifold satisfies the
$\bar{\partial}\partial$-lemma, we establish the equivariant formality theorem.
If in addition, the manifold satisfies the generalized K\"ahler condition, we
prove the Kirwan injectivity in this setting. We then consider the Hamiltonian
action of a torus on an $H$-twisted generalized Calabi-Yau manifold and extend
to this case the Duistermaat-Heckman theorem for the push-forward measure.
  As a side result, we show in this paper that the generalized K\"ahler
quotient of a generalized K\"ahler vector space can never have a
(cohomologically) non-trivial twisting. This gives a negative answer to a
question asked by physicists whether one can construct $(2,2)$ gauged linear
sigma models with non-trivial fluxes.

20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex