ON FLAT MANIFOLD BUNDLES AND THE CONNECTIVITY OF HAEFLIGER'S CLASSIFYING SPACES

被引：0

作者：

Nariman, Sam ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, 150 N Univ St, W Lafayette, IN 47907 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2024年 / 152卷 / 11期

关键词：

CLASSICAL LIE-GROUPS; SMALE CONJECTURE; CO-HOMOLOGY; COHOMOLOGY; FOLIATIONS; DISCRETE;

D O I：

10.1090/proc/16941

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a conjecture due to Haefliger and Thurston in the context of foliated manifold bundles. In this context, Haefliger-Thurston's conjecture predicts that every M-bundle over a manifold B where dim(B) <= dim(M) is cobordant to a flat M-bundle. In particular, we study the bordism class of flat M-bundles over low dimensional manifolds, comparing a finite dimensional Lie group G with Diff(0)(G).

引用

页码：4943 / 4957

页数：15

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