Abelian arithmetic Chern-Simons theory and arithmetic linking numbers
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 formu...
| Үндсэн зохиолчид: | , , , , , |
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| Формат: | Journal article |
| Хэвлэсэн: |
Oxford University Press
2017
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| _version_ | 1826282195577208832 |
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| author | Chung, H Kim, D Kim, M Pappas, G Park, J Yoo, H |
| author_facet | Chung, H Kim, D Kim, M Pappas, G Park, J Yoo, H |
| author_sort | Chung, H |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T00:40:09Z |
| format | Journal article |
| id | oxford-uuid:82c37df5-1c0e-4beb-b3c2-e1ed2f7b3100 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T00:40:09Z |
| publishDate | 2017 |
| publisher | Oxford University Press |
| record_format | dspace |
| spelling | oxford-uuid:82c37df5-1c0e-4beb-b3c2-e1ed2f7b31002022-03-26T21:39:43ZAbelian arithmetic Chern-Simons theory and arithmetic linking numbersJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:82c37df5-1c0e-4beb-b3c2-e1ed2f7b3100Symplectic Elements at OxfordOxford University Press2017Chung, HKim, DKim, MPappas, GPark, JYoo, HFollowing 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. |
| spellingShingle | Chung, H Kim, D Kim, M Pappas, G Park, J Yoo, H Abelian arithmetic Chern-Simons theory and arithmetic linking numbers |
| title | Abelian arithmetic Chern-Simons theory and arithmetic linking numbers |
| title_full | Abelian arithmetic Chern-Simons theory and arithmetic linking numbers |
| title_fullStr | Abelian arithmetic Chern-Simons theory and arithmetic linking numbers |
| title_full_unstemmed | Abelian arithmetic Chern-Simons theory and arithmetic linking numbers |
| title_short | Abelian arithmetic Chern-Simons theory and arithmetic linking numbers |
| title_sort | abelian arithmetic chern simons theory and arithmetic linking numbers |
| work_keys_str_mv | AT chungh abelianarithmeticchernsimonstheoryandarithmeticlinkingnumbers AT kimd abelianarithmeticchernsimonstheoryandarithmeticlinkingnumbers AT kimm abelianarithmeticchernsimonstheoryandarithmeticlinkingnumbers AT pappasg abelianarithmeticchernsimonstheoryandarithmeticlinkingnumbers AT parkj abelianarithmeticchernsimonstheoryandarithmeticlinkingnumbers AT yooh abelianarithmeticchernsimonstheoryandarithmeticlinkingnumbers |