Journal article
Abelian arithmetic Chern-Simons theory and arithmetic linking numbers
- Abstract:
- Following the method of Seifert surfaces in knot theory, we define arithmetic linking numbers and height pairings of ideals using arithmetic duality theorems, and compute them in terms of n-th power residue symbols. This formalism leads to a precise arithmetic analogue of a 'path-integral formula' for linking numbers.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
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(Preview, Accepted manuscript, pdf, 254.5KB, Terms of use)
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- Publisher copy:
- 10.1093/imrn/rnx271
Authors
- Publisher:
- Oxford University Press
- Journal:
- International Mathematics Research Notices More from this journal
- Volume:
- 2019
- Issue:
- 18
- Pages:
- 5674–5702
- Publication date:
- 2017-11-23
- Acceptance date:
- 2017-10-13
- DOI:
- EISSN:
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1687-0247
- ISSN:
-
1073-7928
- Keywords:
- Pubs id:
-
pubs:701228
- UUID:
-
uuid:82c37df5-1c0e-4beb-b3c2-e1ed2f7b3100
- Local pid:
-
pubs:701228
- Source identifiers:
-
701228
- Deposit date:
-
2017-11-17
Terms of use
- Copyright holder:
- Chung et al
- Copyright date:
- 2017
- Notes:
- Copyright © 2017 The Authors. Published by Oxford University Press. This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/imrn/rnx271
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