12 citations · 32 across the 20 of their papers we have counts for
20 papers
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 invariants of foliated sphere bundles
Sam Nariman
Morita showed that for each power of the Euler class, there are examples of flat -bundles for which the power of the Euler class does not vanish. Haefliger asked if t…
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…
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 .
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…
Thurston's fragmentation and c-principles
Sam Nariman
In this paper, we generalize the original idea of Thurston for the so called Mather-Thurston's theorem for foliated bundles to prove new variants of this theorem for PL homeomorphi…
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…
Topological aspects of the dynamical moduli space of rational maps
Maxime Bergeron, Khashayar Filom, Sam Nariman
We investigate the topology of the space of Möbius conjugacy classes of degree rational maps on the Riemann sphere. We show that it is rationally acyclic and we compute its fun…
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…
A local to global argument on low dimensional manifolds
Sam Nariman
For an oriented manifold whose dimension is less than , we use the contractibility of certain complexes associated to its submanifolds to cut into simpler pieces in orde…
On the moduli space of flat symplectic surface bundles
Sam Nariman
In this paper, we prove homological stability of symplectomorphisms and extended hamiltonians of surfaces made discrete. We construct an isomorphism from the stable homology group…
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…
Braid groups and discrete diffeomorphisms of the punctured disk
Sam Nariman
We show that the group cohomology of the diffeomorphisms of the disk with punctures has the cohomology of the braid group of strands as the summand. As an application of th…
Stable homology of surface diffeomorphism groups made discrete
Sam Nariman
We answer affirmatively a question posed by Morita on homological stability of surface diffeomorphisms made discrete. In particular, we prove that -diffeomorphisms and…
Homological stability and stable moduli of flat manifold bundles
Sam Nariman
We prove that group homology of the diffeomorphism group of as a discrete group is independent of in a range, provided that . This answers the high d…