Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Differential Calculi on Quantum Principal Bundles over Projective Bases   We propose a sheaf-theoretic approach to the theory of differential calculi
on quantum principal bundles over non-affine bases. Our main class of examples
is given by quantum principal bundles over quantum flags. Given a first order
differential calculus on the total space of the bundle, covariant under the
action of the quantum structure group, if the base is affine we construct
calculi on the base and on the structure Hopf algebra. If the base is
projective we construct calculi on the sheaf of localizations, these induce
canonical differential structures on the base sheaf and on the structure Hopf
algebra and vice versa. The example of the quantum principal bundle
$\mathcal{O}_q(\mathrm{SL}_2)$ over $\mathrm{P}^1(\mathbb{C})$ is discussed in
detail.

35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: solv-int
12
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: cmp-lg
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat