Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Coherent-Constructible Correspondence for Toric Deligne-Mumford
  Stacks   We extend our previous work arXiv:1007.0053 on coherent-constructible
correspondence for toric varieties to include toric Deligne-Mumford (DM)
stacks. Following Borisov-Chen-Smith, a toric DM stack $\cX_\bSi$ is described
by a "stacky fan" $\bSi=(N,\Si,\beta)$, where $N$ is a finitely generated
abelian group and $\Si$ is a simplicial fan in $N_\bR=N\otimes_{\bZ}\bR$. From
$\bSi$ we define a conical Lagrangian $\Lambda_\bSi$ inside the cotangent
$T^*M_\bR$ of the dual vector space $M_\bR$ of $N_\bR$, such that
torus-equivariant, coherent sheaves on $\cX_\bSi$ are equivalent to
constructible sheaves on $M_\bR$ with singular support in $\LbS$.

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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc