Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Line bundles on moduli and related spaces   Let G be a Lie goup, let M and N be smooth connected G-manifolds, let f be a
smooth G-map from M to N, and let P denote the fiber of f. Given a closed and
equivariantly closed relative 2-form for f with integral periods, we construct
the principal G-circle bundles with connection on P having the given relative
2-form as curvature. Given a compact Lie group K, a biinvariant Riemannian
metric on K, and a closed Riemann surface S of genus s, when we apply the
construction to the particular case where f is the familiar relator map from a
product of 2s copies of K to K we obtain the principal K-circle bundles on the
associated extended moduli spaces which, via reduction, then yield the
corresponding line bundles on possibly twisted moduli spaces of representations
of the fundamental group of S in K, in particular, on moduli spaces of
semistable holomorphic vector bundles or, more precisely, on a smooth open
stratum when the moduli space is not smooth. The construction also yields an
alternative geometric object, distinct from the familiar gerbe, representing
the fundamental class in the third integral cohomology group of K or,
equivalently, the first Pontrjagin class of the classifying space of K.

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The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
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The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex