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Coboundary expansion and Gromov hyperbolicity

Abstract:
We prove that if a compact n-manifold admits a sequence of residual covers that form a coboundary expander in dimension n −2, then the manifold has Gromov-hyperbolic fundamental group. In particular, residual sequences of covers of non-hyperbolic compact connected irreducible 3-manifolds are not 1-coboundary expanders.
Publication status:
Accepted
Peer review status:
Peer reviewed

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Oxford college:
Hertford College
Role:
Author
ORCID:
0000-0002-5536-9070


More from this funder
Funder identifier:
https://ror.org/0472cxd90
Grant:
850930


Publisher:
EMS Press
Journal:
Groups, Geometry, and Dynamics More from this journal
Acceptance date:
2025-07-21
EISSN:
1661-7215
ISSN:
1661-7207


Language:
English
Pubs id:
2247537
Local pid:
pubs:2247537
Deposit date:
2025-07-22

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