Bordism invariance of orientations and real APS index theory

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2024-11-29 DOI:10.1016/j.aim.2024.110048

Markus Upmeier

引用次数: 0

Abstract

We show that orientations and Floer gradings for elliptic differential operators can be propagated through bordisms. This is based on a new perspective on APS indices for elliptic boundary value problems over the real numbers. Several applications to moduli spaces of this new bordism-theoretic point of view will be given in the sequel.

查看原文本刊更多论文

方向的Bordism不变性与实APS指标理论

我们证明了椭圆型微分算子的定向和花分级可以通过边界传播。这是基于对实数上椭圆边值问题的APS指标的一种新的认识。在后续部分将给出这一新的边界理论观点在模空间中的几个应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.