Action dimension of lattices in Euclidean buildings

DOI10.2140/agt.2018.18.3257zbMath1502.20027arXiv1703.00616OpenAlexW2950943434WikidataQ71314584 ScholiaQ71314584MaRDI QIDQ1631695

Kevin Schreve

Publication date: 6 December 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00616

zbMATH Keywords

Euclidean buildingaction dimensionvan Kampen obstructionS-arithmetic group

Mathematics Subject Classification ID

Geometric group theory (20F65) Braid groups; Artin groups (20F36) Cohomology of groups (20J06) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Groups with a (BN)-pair; buildings (20E42) Embeddings and immersions in PL-topology (57Q35)

Related Items (1)

Properly discontinuous actions versus uniform embeddings

Cites Work

• Non-embeddability of geometric lattices and buildings
• Compactly supported cohomology of buildings.
• Proper actions of lattices on contractible manifolds
• Introduction to \(\ell_2\)-methods in topology: Reduced \(\ell_2\)-homology, harmonic chains, \(\ell_2\)-Betti numbers
• The moduli space of Riemann surfaces is Kähler hyperbolic
• Twin buildings and applications to \(S\)-arithmetic groups
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Proper actions and proper invariant metrics
• Buildings
• THE $\eltwo$-COHOMOLOGY OF ARTIN GROUPS
• Boundaries of right-angled hyperbolic buildings

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