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- W4226058639 abstract "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 $text{dim}(B)leq text{dim}(M)$ 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 $text{Diff}_0(G)$ and localizing the holonomy of flat M-bundles to be supported in a ball." @default.
- W4226058639 created "2022-05-05" @default.
- W4226058639 creator A5077129262 @default.
- W4226058639 date "2022-01-31" @default.
- W4226058639 modified "2023-09-29" @default.
- W4226058639 title "On flat manifold bundles and the connectivity of Haefliger's classifying spaces" @default.
- W4226058639 doi "https://doi.org/10.48550/arxiv.2202.00052" @default.
- W4226058639 hasPublicationYear "2022" @default.
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