Journal article
The 6-strand braid group is CAT(0)
- Abstract:
- We show that braid groups with at most 6 strands are CAT(0) using the close connection between these groups, the associated non-crossing partition complexes, and the embeddability of their diagonal links into spherical buildings of type A. Furthermore, we prove that the orthoscheme complex of any bounded graded modular complemented lattice is CAT(0), giving a partial answer to a conjecture of Brady and McCammond.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
-
-
(Preview, Accepted manuscript, pdf, 472.4KB, Terms of use)
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- Publisher copy:
- 10.1007/s10711-015-0138-9
Authors
- Publisher:
- Springer
- Journal:
- Geometriae Dedicata More from this journal
- Volume:
- 182
- Pages:
- 263-286
- Publication date:
- 2016-01-12
- Acceptance date:
- 2015-12-28
- DOI:
- EISSN:
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1572-9168
- ISSN:
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0046-5755
- Language:
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English
- Keywords:
- Pubs id:
-
1118430
- Local pid:
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pubs:1118430
- Deposit date:
-
2020-07-24
- ARK identifier:
Terms of use
- Copyright holder:
- Springer
- Copyright date:
- 2016
- Rights statement:
- © Springer Science+Business Media Dordrecht 2016
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s10711-015-0138-9
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