VOLTERRA CALCULUS, LOCAL EQUIVARIANT FAMILY INDEX THEOREM AND EQUIVARIANT ETA FORMS

被引：2
|
作者：
Wang, Yong [1 ]
机构：
[1] Northeast Normal Univ, Sch Math & Stat, Changchun 130024, Jilin, Peoples R China
来源：
ASIAN JOURNAL OF MATHEMATICS | 2016年 / 20卷 / 04期
关键词：
Heat equation methods; family index formula; equivariant family index formula; equivariant family JLO characters; equivariant eta form; CHERN-CONNES CHARACTER; DIRAC OPERATORS; HEAT-EQUATION; SHORT PROOF; SUPERCONNECTIONS; INVARIANTS; MANIFOLDS; BOUNDARY; COCYCLE; CONES;
D O I：
10.4310/AJM.2016.v20.n4.a8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give proofs of the family index formula and the equivariant family index formula by the Greiner's approach to heat kernel asymptotics. We compute equivariant family JLO characters. We also define the equivariant eta form and give a proof of its regularity.
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页码：759 / 784
页数：26
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