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Arithmetic Chern-Simons Theory II

Abstract:
We apply ideas of Dijkgraaf and Witten on three-dimensional topological quantum field theory to arithmetic curves, that is, the spectra of rings of integers in algebraic number fields. In the first three sections, we define classical Chern-Simons actions on spaces of Galois representations. In the subsequent sections, we give formulas for computation in a small class of cases and point towards some arithmetic applications.
Publication status:
Not published
Peer review status:
Not peer reviewed

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Authors


Chung, H-J More by this author
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Department:
Oxford, MPLS, Mathematical Institute
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Grant:
IBS-R003-D1
Publication date:
2017-01-04
Pubs id:
pubs:646219
URN:
uri:b346fb32-1c7a-4b1a-ab71-47f08a210b95
UUID:
uuid:b346fb32-1c7a-4b1a-ab71-47f08a210b95
Local pid:
pubs:646219

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