12 citations · 32 across the 20 of their papers we have counts for
9 papers · 1 filter
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…
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 .
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…
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…
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…
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…