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Combinatorial higher dimensional isoperimetry and divergence

Abstract:

In this paper we provide a framework for the study of isoperimetric problems in finitely generated groups, through a combinatorial study of universal covers of compact simplicial complexes. We show that, when estimating filling functions, one can restrict to simplicial spheres of particular shapes, called “round” and “unfolded”, provided that a bounded quasi-geodesic combing exists. We prove that the problem of estimating higher dimensional divergence as well can be restricted to round sp...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1142/S1793525319500225

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
More from this funder
Funding agency for:
Drutu, C
Grant:
Blanc ANR-10-BLAN 12 0116, acronym GGAA
More from this funder
Funding agency for:
Drutu, C
Grant:
Blanc ANR-10-BLAN 12 0116, acronym GGAA
More from this funder
Funding agency for:
Drutu, C
Grant:
Blanc ANR-10-BLAN 12 0116, acronym GGAA
Publisher:
World Scientific Publishing Publisher's website
Journal:
Journal of Topology and Analysis Journal website
Publication date:
2017-11-03
Acceptance date:
2017-09-14
DOI:
EISSN:
1793-7167
ISSN:
1793-5253
Source identifiers:
532060
Keywords:
Pubs id:
pubs:532060
UUID:
uuid:08553969-58a9-4253-b93c-14f713667ce2
Local pid:
pubs:532060
Deposit date:
2017-03-12

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