Journal article
Higher dimensional divergence for mapping class groups
- Abstract:
- In this paper we investigate the higher dimensional divergence functions of mapping class groups of surfaces and of CAT(0)--groups. We show that, for mapping class groups of surfaces, these functions exhibit phase transitions at the rank (as measured by thrice the genus plus the number of punctures minus 3). We also provide inductive constructions of CAT(0)--spaces with co-compact group actions, for which the divergence below the rank is (exactly) a polynomial function of our choice, with degree arbitrarily large compared to the dimension.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, pdf, 465.4KB, Terms of use)
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- Publisher copy:
- 10.4171/GGD/513
Authors
+ Engineering and Physical Sciences Research Council
More from this funder
- Funding agency for:
- Drutu, C
- Grant:
- EP/K032208/1
+ French National Research Agency
More from this funder
- Funding agency for:
- Drutu, C
- Grant:
- EP/K032208/1
- Publisher:
- European Mathematical Society
- Journal:
- Groups, Geometry, and Dynamics More from this journal
- Volume:
- 13
- Issue:
- 3
- Pages:
- 1035-1056
- Publication date:
- 2019-05-07
- Acceptance date:
- 2018-08-04
- DOI:
- EISSN:
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1661-7215
- ISSN:
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1661-7207
- Keywords:
- Pubs id:
-
pubs:401044
- UUID:
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uuid:40fe86e1-477f-4630-beb5-ede69ea1705e
- Local pid:
-
pubs:401044
- Source identifiers:
-
401044
- Deposit date:
-
2018-09-20
Terms of use
- Copyright holder:
- European Mathematical Society
- Copyright date:
- 2019
- Notes:
- © European Mathematical Society. This is the accepted manuscript version of the article. The final version is available online from European Mathematical Society at: 10.4171/GGD/513
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