6 papers · 1 filter
Problem list on Foliations and Diffeomorphism groups
Sam Nariman, Mehdi Yazdi
This document compiles problems proposed and discussed during the problem session at the conference Foliations and Diffeomorphism Groups (CIRM, 2024), organized by Hélène Eynard-…
On the finiteness of the classifying space of diffeomorphisms of reducible three manifolds
Sam Nariman
Kontsevich conjectured that has the homotopy type of a finite CW complex for all compact -manifolds with non-empty boundary. Hatcher-McCul…
The bounded cohomology of transformation groups of Euclidean spaces and discs
Francesco Fournier-Facio, Nicolas Monod, Sam Nariman +1
We prove that the groups of orientation-preserving homeomorphisms and diffeomorphisms of are boundedly acyclic, in all regularities. This is the first full computati…
Foliations and diffeomorphism groups
Sam Nariman
This is a survey article on the relationship between algebraic properties of diffeomorphism groups and homotopical properties of foliations, written for the Notices of the AMS.
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…
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…