37 citations · 71 across the 14 of their papers we have counts for
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math.MG2013
Hyperbolic manifolds of small volume
Mikhail Belolipetsky, Vincent Emery
We conjecture that for every dimension n not equal 3 there exists a noncompact hyperbolic n-manifold whose volume is smaller than the volume of any compact hyperbolic n-manifold. F…
math.GT2013★ 4 cited
On compact hyperbolic manifolds of Euler characteristic two
Vincent Emery
We prove that for n>4 there is no compact arithmetic hyperbolic n-manifold whose Euler characteristic has absolute value equal to 2. In particular, this shows the nonexistence of a…
math.KT2013★ 5 cited
Torsion homology of arithmetic lattices and K2 of imaginary fields
Vincent Emery
We study upper bounds for the torsion in homology of nonuniform arithmetic lattices. Together with recent results of Calegari-Venkatesh, this can be used to obtain upper bounds on…