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math.GT2022
PL homeomorphisms of surfaces and codimension PL foliations
Sam Nariman
Haefliger-Thurston's conjecture predicts that Haefliger's classifying space for -foliations of codimension whose normal bundles are trivial is -connected. In this pape…
math.AT2022★ 3 cited
The free factor complex and the dualizing module for the automorphism group of a free group
Zachary Himes, Jeremy Miller, Sam Nariman +1
Answering a question of Hatcher-Vogtmann, we prove that the top homology group of the free factor complex is not the dualizing module for , at least for .
math.GT2022
On flat manifold bundles and the connectivity of Haefliger's classifying spaces
Sam Nariman
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 -bund…