The Farrell-Jones conjecture for mapping class groups

DOI10.1007/s00222-018-0834-9zbMath1454.20084arXiv1606.02844OpenAlexW2963315291WikidataQ123026038 ScholiaQ123026038MaRDI QIDQ1725699

Mladen Bestvina, Arthur C. Bartels

Publication date: 14 February 2019

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.02844

zbMATH Keywords

mapping class groupsFarrell-Jones conjecture\(K\)- and \(L\)-theory of group rings

Mathematics Subject Classification ID

Geometric group theory (20F65) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Algebraic (K)-theory and (L)-theory (category-theoretic aspects) (18F25)

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On the Farrell-Jones conjecture for algebraic \(K\)-theory of spaces: the Farrell-Hsiang method, A certain structure of Artin groups and the isomorphism conjecture, Acylindrical actions on projection complexes, Two examples of vanishing and squeezing in \(K_1\), Groups acting on hyperbolic spaces -- a survey, Commensurators of abelian subgroups and the virtually abelian dimension of mapping class groups, External Spanier-Whitehead duality and homology representation theorems for diagram spaces, Finitely \(\mathcal{F}\)-amenable actions and decomposition complexity of groups, Acylindrical actions on trees and the Farrell-Jones conjecture, A compactification of outer space which is an absolute retract

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