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A hyperbolic counterpart to Rokhlin's cobordism theorem
release_imvgoflqqjchbb6kntzawd23vi
by
Michelle Chu, Alexander Kolpakov
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as a article
.
2019
Abstract
The purpose of the present paper is to prove existence of
super-exponentially many compact orientable hyperbolic arithmetic
n-manifolds that are geometric boundaries of compact orientable hyperbolic
(n+1)-manifolds, for any n ≥ 2, thereby establishing that these classes
of manifolds have the same growth rate with respect to volume as all compact
orientable hyperbolic arithmetic n-manifolds. An analogous result holds for
non-compact orientable hyperbolic n-manifolds of finite volume that are
geometric boundaries, for n ≥ 2.
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1905.04774v2
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