The dimension of the Torelli group

DOI10.1090/S0894-0347-09-00643-2zbMath1233.20033arXiv0709.0287MaRDI QIDQ3584343

Kai-Uwe Bux, Dan Margalit, Mladen Bestvina

Publication date: 27 August 2010

Published in: Journal of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.0287

zbMATH Keywords

cohomological dimensionmapping class groupsTorelli groupscomplexes of minimizing cycles

Mathematics Subject Classification ID

Topological methods in group theory (57M07) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

On a spectral sequence for the action of the Torelli group of genus on the complex of cycles, Unnamed Item, GEOMETRY OF THE HOMOLOGY CURVE COMPLEX, Stable commutator length on mapping class groups, OEandW* superrigidity results for actions by surface braid groups, Johnson homomorphisms, Cohomology of the hyperelliptic Torelli group, The top homology group of the genus 3 Torelli group, Partial Torelli groups and homological stability, Topological and dynamical properties of Torelli groups of partitioned surfaces, Arithmetic group symmetry and finiteness properties of Torelli groups, Representation theory and homological stability., The Johnson homomorphism and its kernel, Automorphisms of the Torelli complex and the complex of separating curves, Unnamed Item, Big Torelli groups: generation and commensuration, Lefschetz fibrations and Torelli groups, On the character variety of the three–holed projective plane, Automorphisms of the Torelli complex for the one-holed genus two surface

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