η-INVARIANT AND MODULAR FORMS

被引：0

作者：

Han, Fei ^{[1
]}

Zhang, Weiping ^{[2
,3
]}

机构：

[1] Natl Univ Singapore, Dept Math, Singapore 119076, Singapore

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

[3] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2015年 / 66卷 / 01期

关键词：

K INDEX THEOREM; CHARACTERISTIC-NUMBERS; OPERATORS;

D O I：

10.1093/qmath/hau022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the Atiyah-Patodi-Singer reduced.-invariant of the twisted Dirac operator on a closed 4m - 1-dimensional spin manifold, with the twisted bundle being the Witten bundle appearing in the theory of elliptic genus, is a meromorphic modular form of weight 2m up to an integral q-series. We prove this result by combining our construction of certain modular characteristic forms associated to a generalized Witten bundle on spin(c)-manifolds with a deep topological theorem due to Hopkins.

引用

页码：133 / 142

页数：10

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