A geometric proof of the Atiyah-Patodi-Singer mod k index theorem for dirac operators

被引：0

作者：

Elmrabty, Adnane ^{[1
]}

机构：

[1] Ibn Tofail Univ, Dept Math, Kenitra, Morocco

来源：

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2020年 / 26卷 / 02期

关键词：

Z/kZ-K-theory; Spectral flow; eta-Invariant; Direct image; Geometric K-homology; SPECTRAL ASYMMETRY; CHERN CHARACTER; HOMOLOGY; COMPACT;

D O I：

10.1007/s40590-019-00252-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a new proof of the Atiyah-Patodi-Singer modkindex theorem in the case of Dirac operators, i.e., in a geometric situation. The proof is based on K-theoretic ideas from Atiyah-Singer's index theorem.

引用

页码：279 / 286

页数：8

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