Algebraic aspects of the Hirzebruch signature operator and applications to transitive Lie algebroids

被引：0

作者：

J. Kubarski

A. S. Mishchenko

机构：

[1] Technical University of Łódź,Institite of Mathematics

[2] Technical University of Radom,Faculty of Teacher Training

[3] Moscow State University,Department of Mechanics and Mathematics

来源：

Russian Journal of Mathematical Physics | 2009年 / 16卷

关键词：

Manifold; Vector Bundle; Spectral Sequence; Cohomology Algebra; Harmonic Vector;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The index of the classical Hirzebruch signature operator on a manifold M is equal to the signature of the manifold. The examples of Lusztig ([10], 1972) and Gromov ([4], 1985) present the Hirzebruch signature operator for the cohomology (of a manifold) with coefficients in a flat symmetric or symplectic vector bundle. In [6], we gave a signature operator for the cohomology of transitive Lie algebroids.

引用

页码：413 / 428

页数：15