Abstract
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We prove that for any oriented cusped hyperbolic
-manifold
and any compact
oriented
-manifold
with tori boundary,
there exists a finite cover
of
that admits
a degree-
map
, ie
virtually
-dominates
.
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Keywords
hyperbolic $3$-manifolds, nonzero degree maps, good pants
construction, quasi-isometric embedding
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Mathematical Subject Classification
Primary: 57K32, 57M10
Secondary: 30F40
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Publication
Received: 21 April 2023
Revised: 31 October 2023
Accepted: 5 December 2023
Published: 20 June 2025
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