Thomas Haettel, Dawid Kielak, Petra Schwer
Published 2013-04-22, updated 2016-01-05Version 2
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.
Comments: 27 pages, 13 figures. To appear in Geometriae Dedicata, the final publication is available at Springer via http://dx.doi.org/10.1007/s10711-015-0138-9
Complexity of relations in the braid group
Irreducible representations of the braid group $B_3$ in dimension 6
Braid groups in handlebodies and corresponding Hecke algebras
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