The Torelli geometry and its applications. Research announcement

DOI10.4310/MRL.2005.v12.n3.a2zbMath1073.57012arXivmath/0311123OpenAlexW1997662384MaRDI QIDQ2388317

Benson Farb, Nikolai V. Ivanov

Publication date: 12 September 2005

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0311123

zbMATH Keywords

automorphismsmapping class groupTorelli group

Mathematics Subject Classification ID

General low-dimensional topology (57M99)

Related Items (26)

GEOMETRY OF THE HOMOLOGY CURVE COMPLEX ⋮ Hierarchical hyperbolicity of graphs of multicurves ⋮ Curve Complexes Versus Tits Buildings: Structures and Applications ⋮ Commensurations of the Johnson kernel ⋮ OEandW* superrigidity results for actions by surface braid groups ⋮ The co-Hopfian property of the Johnson kernel and the Torelli group. ⋮ Connectivity of complexes of separating curves ⋮ Complexes of nonseparating curves and mapping class groups ⋮ A remark on homomorphisms from right-angled Artin groups to mapping class groups ⋮ Thickness and relative hyperbolicity for graphs of multicurves ⋮ AUTOMORPHISMS OF BRAID GROUPS ON S², T², P² AND THE KLEIN BOTTLE K ⋮ On the complex of separating meridians in handlebodies ⋮ On simplicial maps of the complexes of curves of nonorientable surfaces ⋮ Commensurators of surface braid groups. ⋮ Automorphisms of the Hatcher-Thurston complex ⋮ Addendum to: commensurations of the Johnson kernel ⋮ Automorphisms of the Torelli complex and the complex of separating curves ⋮ Abstract commensurators of braid groups. ⋮ Curve complexes and finite index subgroups of mapping class groups ⋮ Big Mapping Class Groups: An Overview ⋮ Connectivity of certain simplicial complexes associated to a handlebody ⋮ Injective simplicial maps of the complex of arcs on nonorientable surfaces ⋮ Normal subgroups of mapping class groups and the metaconjecture of Ivanov ⋮ On the homotopy type of spaces of Morse functions on surfaces ⋮ Automorphisms of the Torelli complex for the one-holed genus two surface ⋮ THE CO-HOPFIAN PROPERTY OF SURFACE BRAID GROUPS

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