Volume 10, issue 4 (2010)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Braids, posets and orthoschemes

Tom Brady and Jon McCammond

Algebraic & Geometric Topology 10 (2010) 2277–2314
Bibliography
1 P Abramenko, K S Brown, Buildings. Theory and applications, Graduate Texts in Math. 248 (2008) MR2439729
2 J Altobelli, R Charney, A geometric rational form for Artin groups of FC type, Geom. Dedicata 79 (2000) 277 MR1755729
3 D Bessis, The dual braid monoid, Ann. Sci. École Norm. Sup. $(4)$ 36 (2003) 647 MR2032983
4 A Björner, Topological methods, from: "Handbook of combinatorics, Vol. 1, 2" (editors R L Graham, M Grötschel, L Lovász), Elsevier (1995) 1819 MR1373690
5 B H Bowditch, Notes on locally $\mathrm{CAT}(1)$ spaces, from: "Geometric group theory (Columbus, OH, 1992)" (editors R Charney, Davis,Michael, M Shapiro), Ohio State Univ. Math. Res. Inst. Publ. 3, de Gruyter (1995) 1 MR1355101
6 T Brady, Artin groups of finite type with three generators, Michigan Math. J. 47 (2000) 313 MR1793627
7 T Brady, A partial order on the symmetric group and new $K(\pi,1)$'s for the braid groups, Adv. Math. 161 (2001) 20 MR1857934
8 T Brady, J P McCammond, Three-generator Artin groups of large type are biautomatic, J. Pure Appl. Algebra 151 (2000) 1 MR1770639
9 T Brady, C Watt, $K(\pi,1)$'s for Artin groups of finite type, from: "Proceedings of the Conference on Geometric and Combinatorial Group Theory, Part I (Haifa, 2000)", Geom. Dedicata 94 (2002) 225 MR1950880
10 M R Bridson, Geodesics and curvature in metric simplicial complexes, from: "Group theory from a geometrical viewpoint (Trieste, 1990)" (editors É Ghys, A Haefliger, A Verjovsky), World Sci. Publ. (1991) 373 MR1170372
11 M R Bridson, A Haefliger, Metric spaces of non-positive curvature, Grund. der Math. Wissenschaften 319, Springer (1999) MR1744486
12 W Choi, The existence of metrics of nonpositive curvature on the Brady–Krammer complexes for finite-type Artin groups, PhD thesis, Texas A&M University (2004)
13 H S M Coxeter, Regular complex polytopes, Cambridge Univ. Press (1991) MR1119304
14 M Elder, J McCammond, Curvature testing in $3$–dimensional metric polyhedral complexes, Experiment. Math. 11 (2002) 143 MR1960308
15 M Elder, J McCammond, J Meier, Combinatorial conditions that imply word-hyperbolicity for $3$–manifolds, Topology 42 (2003) 1241 MR1981356
16 A Lytchak, Rigidity of spherical buildings and joins, Geom. Funct. Anal. 15 (2005) 720 MR2221148
17 J McCammond, Noncrossing partitions in surprising locations, Amer. Math. Monthly 113 (2006) 598 MR2252931
18 R P Stanley, Enumerative combinatorics. Vol. 1, Cambridge Stud. in Adv. Math. 49, Cambridge Univ. Press (1997) MR1442260
19 G M Ziegler, Lectures on polytopes, Graduate Texts in Math. 152, Springer (1995) MR1311028