Algebraic & Geometric Topology Volume 18, issue 6 (2018)

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Action dimension of lattices in Euclidean buildings

Kevin Schreve

Algebraic & Geometric Topology 18 (2018) 3257–3277

DOI: 10.2140/agt.2018.18.3257

Bibliography

1	H Abels, A Manoussos, G Noskov, Proper actions and proper invariant metrics, J. Lond. Math. Soc. 83 (2011) 619 MR2802502
2	P Abramenko, Twin buildings and applications to S–arithmetic groups, 1641, Springer (1996) MR1624276
3	P Abramenko, K S Brown, Buildings: theory and applications, 248, Springer (2008) MR2439729
4	G Avramidi, M W Davis, B Okun, K Schreve, The action dimension of right-angled Artin groups, Bull. Lond. Math. Soc. 48 (2016) 115 MR3455755
5	N Benakli, Polyèdres et groupes hyperboliques : passage du local au global, PhD thesis, Université Paris-Sud (1992)
6	M Bestvina, M Feighn, Proper actions of lattices on contractible manifolds, Invent. Math. 150 (2002) 237 MR1933585
7	M Bestvina, M Kapovich, B Kleiner, Van Kampen’s embedding obstruction for discrete groups, Invent. Math. 150 (2002) 219 MR1933584
8	A Borel, J P Serre, Cohomologie d’immeubles et de groupes S–arithmétiques, Topology 15 (1976) 211 MR0447474
9	M W Davis, J Dymara, T Januszkiewicz, J Meier, B Okun, Compactly supported cohomology of buildings, Comment. Math. Helv. 85 (2010) 551 MR2653692
10	M W Davis, J Dymara, T Januszkiewicz, B Okun, Weighted L²–cohomology of Coxeter groups, Geom. Topol. 11 (2007) 47 MR2287919
11	M W Davis, J Huang, Determining the action dimension of an Artin group by using its complex of abelian subgroups, Bull. Lond. Math. Soc. 49 (2017) 725 MR3725492
12	M W Davis, I J Leary, The ℓ²–cohomology of Artin groups, J. London Math. Soc. 68 (2003) 493 MR1994696
13	M W Davis, J Meier, The topology at infinity of Coxeter groups and buildings, Comment. Math. Helv. 77 (2002) 746 MR1949112
14	M W Davis, B Okun, Vanishing theorems and conjectures for the ℓ²–homology of right-angled Coxeter groups, Geom. Topol. 5 (2001) 7 MR1812434
15	Z Despotovic, Action dimension of mapping class groups, PhD thesis, University of Utah (2006) MR2709545
16	J Dymara, D Osajda, Boundaries of right-angled hyperbolic buildings, Fund. Math. 197 (2007) 123 MR2365885
17	B Eckmann, Introduction to ℓ₂–methods in topology : reduced ℓ₂–homology, harmonic chains, ℓ₂–Betti numbers, Israel J. Math. 117 (2000) 183 MR1760592
18	M Gromov, Kähler hyperbolicity and L₂–Hodge theory, J. Differential Geom. 33 (1991) 263 MR1085144
19	E R van Kampen, Komplexe in euklidischen Räumen, Abh. Math. Sem. Univ. Hamburg 9 (1933) 72 MR3069580
20	C T McMullen, The moduli space of Riemann surfaces is Kähler hyperbolic, Ann. of Math. 151 (2000) 327 MR1745010
21	J R Stallings, The embedding of homotopy types into manifolds, mimeographed notes (1965)
22	M Tancer, K Vorwerk, Non-embeddability of geometric lattices and buildings, Discrete Comput. Geom. 51 (2014) 779 MR3216663
23	J Tits, Buildings of spherical type and finite BN–pairs, 386, Springer (1974) MR0470099