Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transgression to Loop Spaces and its Inverse, II: Gerbes and Fusion
  Bundles with Connection   We prove that the category of abelian gerbes with connection over a smooth
manifold is equivalent to a certain category of principal bundles over the free
loop space. These bundles are equipped with a connection and with a "fusion"
product with respect to triples of paths. The equivalence is established by
explicit functors in both directions: transgression and regression. We describe
applications to geometric lifting problems and loop group extensions.

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The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph