Journal article
Combinatorial higher dimensional isoperimetry and divergence
- Abstract:
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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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- Files:
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(Accepted manuscript, pdf, 2.0MB)
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- Publisher copy:
- 10.1142/S1793525319500225
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Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Drutu, C
Grant:
Blanc ANR-10-BLAN
12 0116, acronym GGAA
+ Agence nationale de la recherche
More from this funder
Funding agency for:
Drutu, C
Grant:
Blanc ANR-10-BLAN
12 0116, acronym GGAA
+ Labex CEMPI
More from this funder
Funding agency for:
Drutu, C
Grant:
Blanc ANR-10-BLAN
12 0116, acronym GGAA
Bibliographic Details
- 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:
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1793-7167
- ISSN:
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1793-5253
- Source identifiers:
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532060
Item Description
- Keywords:
- Pubs id:
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pubs:532060
- UUID:
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uuid:08553969-58a9-4253-b93c-14f713667ce2
- Local pid:
- pubs:532060
- Deposit date:
- 2017-03-12
Terms of use
- Copyright holder:
- World Scientific Publishing Company
- Copyright date:
- 2017
- Notes:
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© 2019 World Scientific Publishing Co Pte Ltd
This is the accepted manuscript version of the article. The final version is available online from World Scientific Publishing at: https://doi.org/10.1142/S1793525319500225
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