Characteristic classes of fiber bundles

被引：1

作者：

Matsuyuki, Takahiro ^{[1
]}

Terashima, Yuji ^{[2
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528551, Japan

[2] Tokyo Inst Technol, Dept Math & Comp Sci, Meguro Ku, 2-12-1 Ookayama, Tokyo 1528552, Japan

来源：

Algebraic and Geometric Topology | 2016年 / 16卷 / 05期

基金：

日本学术振兴会;

关键词：

HOMOMORPHISMS; EXTENSION; INTEGRALS;

D O I：

10.2140/agt.2016.16.3029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct new characteristic classes of fiber bundles via flat connections with values in infinite-dimensional Lie algebras of derivations. In fact, choosing a fiberwise metric, we construct a chain map to the de Rham complex on the base space, and show that the induced map on cohomology groups is independent of the choice of metric. Moreover, we show that, applied to a surface bundle, our construction gives Morita-Miller-Mumford classes.

引用

页码：3029 / 3050

页数：22

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