Volume 10, issue 4 (2010)

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

Volume 24
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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