Working paper
On spin structures and orientations for gauge-theoretic moduli spaces
- Abstract:
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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...
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- Publication status:
- Not published
- Peer review status:
- Not peer reviewed
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Bibliographic Details
- Publication date:
- 2019-08-09
Item Description
- Pubs id:
-
pubs:1042755
- UUID:
-
uuid:c4e2db5f-4705-4ba8-a361-052547dd5555
- Local pid:
- pubs:1042755
- Source identifiers:
-
1042755
- Deposit date:
- 2019-08-12
Terms of use
- Copyright holder:
- Joyce and Upmeier
- Copyright date:
- 2019
- Notes:
- This is a working paper, available on arXiv at: https://arxiv.org/abs/1908.03524
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