Real embedding and equivariant eta forms

被引：7
|
作者：
Liu, Bo [1 ]
机构：
[1] East China Normal Univ, Sch Math Sci, 500 Dongchuan Rd, Shanghai 200241, Peoples R China
来源：
MATHEMATISCHE ZEITSCHRIFT | 2019年 / 292卷 / 3-4期
基金：
中国博士后科学基金;
关键词：
Equivariant eta form; Index theory and fixed point theory; Higher spectral flow; Direct image; INDEX THEOREM; FUNCTORIALITY; IMMERSIONS; INVARIANT; FAMILIES;
D O I：
10.1007/s00209-018-2119-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Bismut and Zhang (Math Ann 295(4):661-684, 1993) establish a mod Z embedding formula of Atiyah-Patodi-Singer reduced eta invariants. In this paper, we explain the hidden mod Z term as a spectral flow and extend this embedding formula to the equivariant family case. In this case, the spectral flow is generalized to the equivariant Chern character of some equivariant Dai-Zhang higher spectral flow.
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页码：849 / 878
页数：30
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