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Arithmetic Chern-Simons theory II
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Chung, Hee-Joong, Kim, Dohyeong, Kim, Minhyong, Park, Jeehoon and Yoo, Hwajong (2020) Arithmetic Chern-Simons theory II. In: 2017 Simons Symposium on p-adic Hodge theory. Published in: p-adic Hodge Theory pp. 81-128. ISBN 9783030438432. doi:10.1007/978-3-030-43844-9
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Official URL: https://doi.org/10.1007/978-3-030-43844-9_3
Abstract
In this paper, we apply ideas of Dijkgraaf and Witten [6, 32] on 3 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.
| Item Type: | Conference Item (Paper) | |||||||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Divisions: | Faculty of Science > Mathematics | |||||||||||||||
| Library of Congress Subject Headings (LCSH): | Topology , Number theory, Mathematical physics, Quantum field theory | |||||||||||||||
| Series Name: | Simons Symposia | |||||||||||||||
| Journal or Publication Title: | p-adic Hodge Theory | |||||||||||||||
| Publisher: | Springer International Publishing | |||||||||||||||
| ISBN: | 9783030438432 | |||||||||||||||
| Book Title: | p-adic Hodge Theory | |||||||||||||||
| Editor: | Bhatt, Bhargav and Olsson, Martin | |||||||||||||||
| Official Date: | 16 June 2020 | |||||||||||||||
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| Page Range: | pp. 81-128 | |||||||||||||||
| DOI: | 10.1007/978-3-030-43844-9 | |||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Publisher Statement: | This is a post-peer-review, pre-copyedit version of a book chapter published in p-adic Hodge Theory. The final authenticated version is available online at: http://dx.doi.org/10.1007/978-3-030-43844-9 | |||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
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| Conference Paper Type: | Paper | |||||||||||||||
| Title of Event: | 2017 Simons Symposium on p-adic Hodge theory | |||||||||||||||
| Type of Event: | Conference | |||||||||||||||
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