Finiteness and infiniteness results for Torelli groups of (hyper-)Kähler manifolds

DOI10.1007/s00208-021-02174-xzbMath1481.53065arXiv1907.05693OpenAlexW3154840350MaRDI QIDQ2235234

Yang Su, Matthias Kreck

Publication date: 21 October 2021

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.05693

zbMATH Keywords

hyper-Kähler manifoldmapping class groupintegral cohomologyTorelli group

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Toric topology (57S12)

Related Items

Erratum to: ``Mapping class group and a global Torelli theorem for hyperkähler manifolds ⋮ Families of rational curves on holomorphic symplectic varieties and applications to 0-cycles

Cites Work

• Unnamed Item
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• Mapping class group and a global Torelli theorem for hyperkähler manifolds
• Variétés kähleriennes dont la première classe de Chern est nulle
• Infinitesimal computations in topology
• Surgery and duality
• On the cohomology of Kähler and hyper-Kähler manifolds
• On the cohomology ring of a simple hyperkähler manifold (on the results of Verbitsky)
• Teichmüller spaces and Torelli theorems for hyperkähler manifolds
• Classification problems in differential topology. V: On certain 6- manifolds
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Characteristic Classes. (AM-76)