Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holomorphic bundles on 2-dimensional noncommutative toric orbifolds   We define the notion of a holomorphic bundle on the noncommutative toric
orbifold $T_{\theta}/G$ associated with an action of a finite cyclic group $G$
on an irrational rotation algebra. We prove that the category of such
holomorphic bundles is abelian and its derived category is equivalent to the
derived category of modules over a finite-dimensional algebras $\Lambda$. As an
application we finish the computation of $K_0$-groups of the crossed product
algebras describing the above orbifolds initiated by Kumjian, Walters and Buck.
Also, we describe a torsion pair in the category of $\Lambda$-modules, such
that the tilting with respect to this torsion pair gives the category of
holomorphic bundles on $T_{\theta}/G$.

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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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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: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio