时间反转对称Bloch束的微分几何不变量，II:低维“四元数”情况

IF 0.6 3区数学 Q3 MATHEMATICS

Algebraic and Geometric Topology Pub Date : 2023-09-26 DOI:10.2140/agt.2023.23.2925

Giuseppe De Nittis, Kiyonori Gomi

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引用次数: 2

摘要

本文研究了四元数向量束分类的微分几何不变量的构造。假设基空间是二维或三维光滑流形，其对合只留下有限个数的固定点，则有可能证明weiss - zumino项和chen - simons不变量产生的拓扑量能够区分四元数结构的不等价实现。

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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Differential geometric invariants for time-reversal symmetric Bloch bundles, II : The low-dimensional “quaternionic” case

This paper is devoted to the construction of differential geometric invariants for the classification of "Quaternionic" vector bundles. Provided that the base space is a smooth manifold of dimension two or three endowed with an involution that leaves fixed only a finite number of points, it is possible to prove that the Wess-Zumino term and the Chern-Simons invariant yield topological quantities able to distinguish between inequivalent realization of "Quaternionic" structures.

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来源期刊

Algebraic and Geometric Topology 数学-数学

CiteScore

1.10

自引率

14.30%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebraic and Geometric Topology is a fully refereed journal covering all of topology, broadly understood.