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.
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页码：523 / 535
页数：13
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