Tautological rings for high-dimensional manifolds

DOI10.1112/S0010437X16008332zbMath1371.57023arXiv1511.06445OpenAlexW2176277129WikidataQ126092085 ScholiaQ126092085MaRDI QIDQ2990008

Oscar Randal-Williams, Søren Galatius, I. S. Grigoriev

Publication date: 9 June 2017

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.06445

zbMATH Keywords

nilpotencefibre bundletautological ringcharacteristic classLie group action

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Characteristic classes and numbers in differential topology (57R20) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Related Items (8)

Characteristic classes for families of bundles ⋮ Tautological classes of definite 4-manifolds ⋮ On characteristic classes of exotic manifold bundles ⋮ Tautological classes and smooth bundles over BSU(2) ⋮ A vanishing theorem for tautological classes of aspherical manifolds ⋮ Some phenomena in tautological rings of manifolds ⋮ Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers ⋮ TAUTOLOGICAL RINGS AND STABILISATION

Cites Work

• Infinitesimal computations in topology
• Generators for the tautological algebra of the moduli space of curves.
• On the tautological ring of \(\mathcal{M}_ g\)
• Relations among characteristic classes of manifold bundles
• Characteristic Classes. (AM-76)
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