Splitting of the family index

被引：13

作者：

Dai, XZ ^{[1
]}

Zhang, WP ^{[1
]}

机构：

[1] NANKAI INST MATH,TIANJIN 300071,PEOPLES R CHINA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1996年 / 182卷 / 02期

关键词：

D O I：

10.1007/BF02517892

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We establish a general splitting formula for index bundles of families of Dirac type operators. Among the applications, our result provides a positive answer to a question of Bismut and Cheeger [BC2].

引用

页码：303 / 317

页数：15

共 17 条

[1]

ATIYAH M, 1989, PUBL MATH-PARIS, V68, P175, DOI DOI 10.1007/BF02698547

[2]

Atiyah M., 1969, PUBL IHES, V37, P305

[3] INDEX OF ELLIPTIC OPERATORS .4. [J].

ATIYAH, MF ;

SINGER, IM .

ANNALS OF MATHEMATICS, 1971, 93 (01) :119-&

[4] SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .1. [J].

ATIYAH, MF ;

PATODI, VK ;

SINGER, IM .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) :43-69

[5]

Bismut J.-M., 1992, DIFFERENTIAL GEOMETR, P59

[6] FAMILIES INDEX FOR MANIFOLDS WITH BOUNDARY, SUPERCONNECTIONS, AND CONES .1. FAMILIES OF MANIFOLDS WITH BOUNDARY AND DIRAC OPERATORS [J].

BISMUT, JM ;

CHEEGER, J .

JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 89 (02) :313-363

[7] FAMILIES INDEX FOR MANIFOLDS WITH BOUNDARY, SUPERCONNECTIONS AND CONES .2. THE CHERN CHARACTER [J].

BISMUT, JM ;

CHEEGER, J .

JOURNAL OF FUNCTIONAL ANALYSIS, 1990, 90 (02) :306-354

[8]

BOOSS B, 1993, ELLIPTIC BOUNDARY PR

[9] PSEUDODIFFERENTIAL PROJECTIONS AND THE TOPOLOGY OF CERTAIN SPACES OF ELLIPTIC BOUNDARY-VALUE PROBLEMS [J].

BOOSSBAVNBEK, B ;

WOJCIECHOWSKI, KP .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1989, 121 (01) :1-9

[10]

BUNKE U, 1995, J DIFFER GEOM, V41, P397

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