Abelian Arithmetic Chern-Simons Theory and Arithmetic Linking Numbers

被引：4

作者：

Chung, Hee-Joong ^{[1
,2
]}

Kim, Dohyeong ^{[3
]}

Kim, Minhyong ^{[2
,4
]}

Pappas, George ^{[5
]}

Park, Jeehoon ^{[6
]}

Yoo, Hwajong ^{[7
]}

机构：

[1] Pohang Univ Sci & Technol, Dept Phys, 77 Cheongam Ro, Pohang 37673, South Korea

[2] Korea Inst Adv Study, 85 Hoegiro, Seoul 02455, South Korea

[3] Univ Michigan, Dept Math, 2074 East Hall,530 Church St, Ann Arbor, MI 48109 USA

[4] Univ Oxford, Math Inst, Woodstock Rd, Oxford 0X2 6GG, England

[5] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[6] Pohang Univ Sci & Technol, Dept Math, 77 Cheongam Ro, Pohang 37673, Gyeongbuk, South Korea

[7] Pohang Univ Sci & Technol, IBS Ctr Geometry & Phys, Math Sci Bldg,Room 108,77 Cheongam Ro, Pohang 37673, Gyeongbuk, South Korea

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2019年 / 2019卷 / 18期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1093/imrn/rnx271

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：5674 / 5702

页数：29

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