12 citations · 32 across the 20 of their papers we have counts for
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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-Bo…
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.
On -stability of compact leaves with amenable fundamental group
Sam Nariman, Mehdi Yazdi
In his work on the generalization of the Reeb stability theorem, Thurston conjectured that if the fundamental group of a compact leaf in a codimension-one transversely orientab…
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…
Bounded and unbounded cohomology of homeomorphism and diffeomorphism groups
Nicolas Monod, Sam Nariman
We determine the bounded cohomology of the group of homeomorphisms of certain low-dimensional manifolds. In particular, for the group of orientation-preserving homeomorphisms of th…
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…
On the bordism group for group actions on the torus
Kathryn Mann, Sam Nariman
In this short note, we study the bordism problem for group actions on the torus and give examples of groups acting on the torus by diffeomorphisms isotopic to the identity that can…
Dynamical and cohomological obstructions to extending group actions
Kathryn Mann, Sam Nariman
We study cohomological obstructions to extending group actions on the boundary of a -manifold to a -action on when is diffeomorphic to a torus…
On powers of the Euler class for flat circle bundles
Sam Nariman
Apparently a lost theorem of Thurston states that the cube of the Euler class is zero where is the analytic orientation pres…