From the 1 of 3.4k papers with an AI index.
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7 papers · 1 filter
Cubulating Drilled bundles over graphs
Mahan Mj, Biswajit Nag
We start with a Gromov-hyperbolic surface bundle over a graph, and drill out essential simple closed curves from fibers to obtain a drilled bundle . We prove that for such d…
Class number for pseudo-Anosovs
François Dahmani, Mahan Mj
Given two automorphisms of a group , one is interested in knowing whether they are conjugate in the automorphism group of , or in the abstract commensurator of , and how t…
Limit sets of unfolding paths in Outer space
Mladen Bestvina, Radhika Gupta, Jing Tao
We construct an unfolding path in Outer space which does not converge in the boundary, and instead it accumulates on the entire 1-simplex of projectivized length measures on a non-…
The congruence topology, Grothendieck duality and thin groups
Alexander Lubotzky, T. N. Venkataramana
This paper answers a question raised by Grothendieck in 1970 on the "Grothendieck closure" of an integral linear group and proves a conjecture of the first author made in 1980. Thi…
On the exactness of Kostant-Kirillov form and the second cohomology of nilpotent orbits
Indranil Biswas, Pralay Chatterjee
We give a criterion for the Kostant-Kirillov form on an adjoint orbit in a real semisimple Lie group to be exact. We explicitly compute the second cohomology of all the nilpotent a…
Two generalizations of the nonabelian tensor product
Manuel Ladra, Viji Z. Thomas
The purpose of this paper is two fold. First we introduce the box-tensor product of two groups as a generalization of the nonabelian tensor product of groups. We extend various res…