Mapping class groups of highly connected \((4k+2)\)-manifolds

DOI10.1007/s00029-020-00600-7OpenAlexW3109056394MaRDI QIDQ2218159

Manuel Krannich

Publication date: 14 January 2021

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.10097

zbMATH Keywords

mapping class groupTorelli groupabelianizationmiddle homology

Mathematics Subject Classification ID

Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Differential topological aspects of diffeomorphisms (57R50) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (3)

The mapping class group of connect sums of 𝑆²×𝑆¹ ⋮ Some hermitian K-groups via geometric topology ⋮ A homological approach to pseudoisotopy theory. I.

Cites Work

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• Abelian quotients of mapping class groups of highly connected manifolds
• The Picard group of the moduli space of curves with level structures
• On the mapping class groups of \(\#_r(S^p \times S^p)\) for \(p = 3, 7\)
• Plongements différentiables de variétés dans variétés
• Some non-stable homotopy groups of Lie groups
• Mapping class groups of simply connected high-dimensional manifolds need not be arithmetic
• Modular Lagrangians and the theta multiplier
• Pseudo-isotopy classes of diffeomorphisms of the unknotted pairs \((S^{n+2},S^n)\) and \((S^{2p+2},S^p\times S^p)\)
• Monoids of moduli spaces of manifolds
• Multiplikatorsysteme der symplektischen Thetagruppe
• Infinite loop spaces from operads with homological stability
• Theta functions and a presentation of \(2^{1 +(2 g + 1)} \mathsf{Sp}(2 g, 2)\)
• Kernel of the variation operator and periodicity of open books
• Commutator coverings of Siegel threefolds.
• Rational homotopy theory of automorphisms of manifolds
• Signature cocycles on the mapping class group and symplectic groups
• On rational homological stability for block automorphisms of connected sums of products of spheres
• Some finiteness results for groups of automorphisms of manifolds
• Homological stability of diffeomorphism groups
• On the homotopy groups of BPL and PL/O
• Classification problems in differential topology. VI: Classification of \((s-1)\)-connected \((2s+1)\)-manifolds
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Classification of (n-1)-connected 2n-manifolds
• Die Signatur von Flächenbündeln
• Composition constructions on diffeomorphisms of \(S^p \times S^q\)
• Groups of homotopy spheres. I
• Classification problems in differential topology. II: Diffeomorphisms of handlebodies
• On the nonexistence of elements of Kervaire invariant one
• The abelianization of the level d mapping class group
• Sur l'homologie des groupes unitaires à coefficients polynomiaux
• On the Jacobi group and the mapping class group of $S^3\times S^3$
• On the Index of a Fibered Manifold
• Compositional Methods in Homotopy Groups of Spheres. (AM-49)
• On the topology of the space of Ricci-positive metrics
• Word Maps, Isotopy and Entropy
• Foliations and groups of diffeomorphisms
• Characteristic numbers of manifold bundles over surfaces with highly connected fibers
• Torelli spaces of high-dimensional manifolds
• The Action of Γ 2n on (n - 1)-Connected 2n-Manifolds
• Symplectic modulary groups
• On the Inertia Group of π-Manifolds
• DIFFEOMORPHISM GROUPS OF S^p × S^q EXOTIC SPHERES
• On the group of homotopy equivalences of a manifold
• Cohomology of Group Extensions

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