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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

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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)
Subjects: Q Science > QA Mathematics
Q Science > QC Physics
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
Dates:
DateEvent
16 June 2020Published
16 June 2020Available
22 February 2020Accepted
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
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
550033Simons Foundationhttp://dx.doi.org/10.13039/100000893
EP/M024830/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
SSTF-BA1502-01Samsunghttp://dx.doi.org/10.13039/100004358
IBS-R003-D1Institute for Basic Science in Koreahttps://www.ibs.re.kr/eng.do
Conference Paper Type: Paper
Title of Event: 2017 Simons Symposium on p-adic Hodge theory
Type of Event: Conference
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