Working paper

### On spin structures and orientations for gauge-theoretic moduli spaces

Abstract:

Let X be a compact manifold, G a Lie group, P→X a principal G-bundle, and B_P the infinite-dimensional moduli space of connections on P modulo gauge. For a real elliptic operator E we previously studied orientations on the real determinant line bundle over B_P. These are used to construct orientations in the usual sense on smooth gauge theory moduli spaces, and have been extensively studied since the work of Donaldson. Here we consider complex elliptic operators F and introduce the idea of s...

Publication status:
Not published
Peer review status:
Not peer reviewed

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### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Lincoln College
Role:
Author
ORCID:
0000-0002-3530-8801
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
Publication date:
2019-08-09
Source identifiers:
1042755
Pubs id:
pubs:1042755
UUID:
uuid:c4e2db5f-4705-4ba8-a361-052547dd5555
Local pid:
pubs:1042755
Deposit date:
2019-08-12