Sub-signature operators, η-invariants and a Riemann-Roch theorem for flat vector bundles

被引：22

作者：

Zhang, WP ^{[1
]}

机构：

[1] Nankai Univ, Nankai Inst Math, Tianjin 300071, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2004年 / 25卷 / 01期

关键词：

sub-signature operators; eta-invariants; flat vector bundles; Riemann-Roch;

D O I：

10.1142/S0252959904000032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The author presents an extension of the Atiyah-Patodi-Singer invariant for unitary representations [2, 3] to the non-unitary case, as well as to the case where the base manifold admits certain finer structures. In particular, when the base manifold has a fibration structure, a Riemann-Roch theorem for these invariants is established by computing the adiabatic limits of the associated eta-invariants.

引用

页码：7 / 36

页数：30

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