Some rational homology computations for diffeomorphisms of odd‐dimensional manifolds

DOI10.1112/topo.12324arXiv2203.03414OpenAlexW4391387438WikidataQ129077210 ScholiaQ129077210MaRDI QIDQ6121054

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Publication date: 26 March 2024

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

Full work available at URL: https://arxiv.org/abs/2203.03414

zbMATH Keywords

homological stability

Mathematics Subject Classification ID

Rational homotopy theory (55P62) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

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• The space of metrics of positive scalar curvature
• The stability theorem for smooth pseudoisotopies
• Homology stability for linear groups
• The homotopy type of the cobordism category
• Density properties for certain subgroups of semi-simple groups without compact components
• Stability of the homology of the mapping class groups of orientable surfaces
• Automorphisms of manifolds and algebraic K-theory. I
• Homology fibrations and the 'group-completion' theorem
• Groups of automorphisms of manifolds. With an appendix by E. Peders en
• The localization of spaces with respect to homology
• Cobordism of odd-dimensional diffeomorphisms
• Genetics of homotopy theory and the Adams conjecture
• Infinitesimal computations in topology
• Acyclic maps
• On the homotopy of the stable mapping class group
• Homological stability for diffeomorphism groups of high-dimensional handlebodies
• Cohomology of automorphism groups of free groups with twisted coefficients
• The homology of the mapping class group
• A parametrized index theorem for the algebraic \(K\)-theory Euler class.
• Low degree cohomologies of congruence groups
• Stable moduli spaces of high-dimensional manifolds
• A vanishing theorem for tautological classes of aspherical manifolds
• A homological approach to pseudoisotopy theory. I.
• The positive scalar curvature cobordism category
• Rational homotopy theory of automorphisms of manifolds
• On rational homological stability for block automorphisms of connected sums of products of spheres
• Cobordism categories and moduli spaces of odd dimensional manifolds
• Some finiteness results for groups of automorphisms of manifolds
• \(E_2\)-cells and mapping class groups
• Homological stability for moduli spaces of high dimensional manifolds. II.
• Generalised Miller-Morita-Mumford classes for block bundles and topological bundles
• The stable moduli space of Riemann surfaces: Mumford's conjecture
• On the structure of Hopf algebras
• Classification problems in differential topology. VI: Classification of \((s-1)\)-connected \((2s+1)\)-manifolds
• Solution of the congruence subgroup problem for \(\text{SL}_ n\) \((n\geq 3)\) and \(\text{Sp}_{2n}\) \((n\geq 2)\)
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• The geometry of iterated loop spaces
• Lie groups. An approach through invariants and representations
• Groups of homotopy spheres. I
• Classification problems in differential topology. II: Diffeomorphisms of handlebodies
• Homological stability for the moduli spaces of products of spheres
• 'GROUP-COMPLETION', LOCAL COEFFICIENT SYSTEMS AND PERFECTION
• A vanishing theorem for characteristic classes of odd-dimensional manifold bundles
• Categorical Homotopy Theory
• Introduction to representation theory
• Symmetry, Representations, and Invariants
• THE PLUS-CONSTRUCTION AND FIBRATIONS
• Stable real cohomology of arithmetic groups
• Homological stability for moduli spaces of high dimensional manifolds. I
• Induction theorems for groups of homotopy manifold structures
• K -Localizations and K -Equivalences of Infinite Loop Spaces
• Spaces of PL Manifolds and Categories of Simple Maps (AM-186)
• ON THE COHOMOLOGY OF TORELLI GROUPS
• Borel's stable range for the cohomology of arithmetic groups
• Torelli spaces of high-dimensional manifolds
• Stable moduli spaces of high‐dimensional handlebodies
• Characteristic classes of surface bundles
• Improved homological stability for certain general linear groups

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