3-manifolds的Chern-Simons不变式的互易性

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Letters in Mathematical Physics Pub Date : 2024-01-11 DOI:10.1007/s11005-023-01760-1

Takefumi Nosaka

引用次数: 0

摘要

我们提出了3-manifolds的Chern-Simons不变式的互易猜想，并讨论了猜想的一些支持证据。特别是，我们证明了如果满足某个 \(K_3\)-group 的伽罗瓦后裔，猜想就成立。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Reciprocity of the Chern–Simons invariants of 3-manifolds

We pose a reciprocity conjecture of the Chern–Simons invariants of 3-manifolds, and discuss some supporting evidence on the conjectures. Particularly, we show that the conjectures hold if Galois descent of a certain \(K_3\)-group is satisfied.

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来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.