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...
Main Authors: | , , , , , |
---|---|
格式: | Journal article |
出版: |
Oxford University Press
2017
|