Abelian Arithmetic Chern-Simons Theory and Arithmetic Linking Numbers
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SCOPUS
- Title
- Abelian Arithmetic Chern-Simons Theory and Arithmetic Linking Numbers
- Authors
- Chung, Heejoong; Kim, Dohyeong; Kim, Minhyong; Pappas, Georgios; Park, Jeehoon; Yoo, Hwajong
- Date Issued
- 2017-11
- Publisher
- OXFORD UNIV PRESS
- 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.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/95008
- DOI
- 10.1093/imrn/rnx271
- ISSN
- 1073-7928
- Article Type
- Article
- Citation
- INTERNATIONAL MATHEMATICS RESEARCH NOTICES, vol. 2019, no. 18, page. 5674 - 5702, 2017-11
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