The differential analytic index in Simons-Sullivan differential K-theory

被引：5

作者：

Ho, Man-Ho ^{[1
]}

机构：

[1] Boston Univ, Dept Math & Stat, Boston, MA 02215 USA

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2012年 / 42卷 / 04期

关键词：

Differential K-theory; Index theory; Differential characters; COHOMOLOGY; CHARACTERS; INVARIANTS;

D O I：

10.1007/s10455-012-9325-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the Simons-Sullivan differential analytic index by translating the Freed-Lott differential analytic index via explicit ring isomorphisms between Freed-Lott differential K-theory and Simons-Sullivan differential K-theory. We prove the differential Grothendieck-Riemann-Roch theorem in Simons-Sullivan differential K-theory using a theorem of Bismut.

引用

页码：523 / 535

页数：13

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