Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetry Groups of Principal Bundles Over Non-Compact Bases   In this work, we describe how to obtain the structure of an
infinite-dimensional Lie group on the group of compactly carried bundle
automorphisms Autc(P) for a locally convex prinicpal bundle P over a
finite-dimensional smooth sigma-compact base M. This is a generalization of
previous work by Wockel, where the base M was compact. We first consider the
Lie group structure on the group of compactly carried vertical bundle morphisms
Gauc(P) (in both cases "compactly carried" refers to being compactly carried on
the base in a certain sense). We then introduce the Lie group structure on
Autc(P) as an extension of a certain open Lie subgroup of the compactly carried
diffeomorphisms Diffc(M) by the gauge group Gauc(P). We find an explicit
condition on P ensuring that Gauc(P) can be equipped with a Lie group structure
enabling the extension just mentioned and show that this condition is satisfied
by selected classes of bundles.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn