Torelli spaces of high-dimensional manifolds

DOI10.1112/jtopol/jtu014zbMath1387.55020arXiv1306.2530OpenAlexW2327141647MaRDI QIDQ5179525

Oscar Randal-Williams, Johannes Ebert

Publication date: 20 March 2015

Published in: Journal of Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.2530

zbMATH Keywords

classifying spacestable rangeTorelli grouphigh-dimensional manifoldsMMM characteristic classes

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Characteristic classes and numbers in differential topology (57R20) Surgery and handlebodies (57R65) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05) Differential topological aspects of diffeomorphisms (57R50) Cohomology of arithmetic groups (11F75) Spectral sequences and homology of fiber spaces in algebraic topology (55R20) Microbundles and block bundles in algebraic topology (55R60)

Related Items

Variations of rational higher tangential structures, An upper bound for the pseudoisotopy stable range, ON THE COHOMOLOGY OF TORELLI GROUPS, Diffeomorphisms of discs, Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds, Generalised Miller-Morita-Mumford classes for block bundles and topological bundles, Mapping class groups of highly connected \((4k+2)\)-manifolds, On the topology of the space of Ricci-positive metrics, Characteristic classes of fiberwise branched surface bundles via arithmetic groups, Borel's stable range for the cohomology of arithmetic groups, Geometric cycles and characteristic classes of manifold bundles (with an appendix by M. Krannich), Some finiteness results for groups of automorphisms of manifolds

Cites Work

• The homotopy type of the cobordism category
• Plongements différentiables de variétés dans variétés
• The Torelli groups for genus 2 and 3 surfaces
• Groups of automorphisms of manifolds. With an appendix by E. Peders en
• An abelian quotient of the mapping class group \(\mathfrak S\)
• Stable moduli spaces of high-dimensional manifolds
• Homological stability of diffeomorphism groups
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• The index of elliptic operators. III
• Classification of (n-1)-connected 2n-manifolds
• Classification problems in differential topology. II: Diffeomorphisms of handlebodies
• A vanishing theorem for characteristic classes of odd-dimensional manifold bundles
• The diffeomorphism group of a K3 surface and Nielsen realization
• Stable and 𝐿²-cohomology of arithmetic groups
• Characteristic Classes. (AM-76)
• Stable real cohomology of arithmetic groups
• Induction theorems for groups of homotopy manifold structures
• Homological infiniteness of Torelli groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item