A vanishing theorem for tautological classes of aspherical manifolds

Publikation: Bidrag til tidsskriftTidsskriftartikelfagfællebedømt

Dokumenter

  • Fabian Hebestreit
  • Markus Land
  • Wolfgang Lück
  • Oscar Randal-Williams

Tautological classes, or generalised Miller–Morita–Mumford classes, are basic characteristic classes of smooth fibre bundles, and have recently been used to describe the rational cohomology of classifying spaces of diffeomorphism groups for several types of manifolds. We show that rationally tautological classes depend only on the underlying topological block bundle, and use this to prove the vanishing of tautological classes for many bundles with fibre an aspherical manifold.

OriginalsprogEngelsk
TidsskriftGeometry and Topology
Vol/bind25
Udgave nummer1
Sider (fra-til)47-110
ISSN1465-3060
DOI
StatusUdgivet - 2021

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