Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holomorphic Lagrangian branes correspond to perverse sheaves   Let X be a compact complex manifold, $D_c^b(X)$ be the bounded derived
category of constructible sheaves on $X$, and $Fuk(T^*X)$ be the Fukaya
category of $T^*X$. A Lagrangian brane in $Fuk(T^*X)$ is holomorphic if the
underlying Lagrangian submanifold is complex analytic in $T^*X_{\mathbb{C}}$,
the holomorphic cotangent bundle of $X$. We prove that under the
quasi-equivalence between $D^b_c(X)$ and $DFuk(T^*X)$ established in [NaZa09]
and [Nad09], holomorphic Lagrangian branes with appropriate grading correspond
to perverse sheaves.

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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: physics
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: hep-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin
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The categories of this paper are: eess
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom