TAUTOLOGICAL RINGS AND STABILISATION

DOI10.1017/S0017089521000045zbMath1483.55008arXiv2006.13050OpenAlexW3136055509MaRDI QIDQ5015623

Oscar Randal-Williams

Publication date: 9 December 2021

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.13050

zbMATH Keywords

classifying spacesdiffeomorphism groupstautological ringsmoduli spaces of manifoldsMMM-classes

Mathematics Subject Classification ID

Topology of vector bundles and fiber bundles (57R22) Homology of classifying spaces and characteristic classes in algebraic topology (55R40)

Cites Work

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• Characteristic classes of bundles of \(K3\) manifolds and the Nielsen realization problem
• The transfer map and fiber bundles
• Some phenomena in tautological rings of manifolds
• Generators for the tautological algebra of the moduli space of curves.
• On the tautological ring of \(\mathcal{M}_ g\)
• A vanishing theorem for tautological classes of aspherical manifolds
• Relations among characteristic classes of manifold bundles
• Rigidity and characteristic classes of smooth bundles with nonpositively curved fibers
• Tautological rings for high-dimensional manifolds