Characteristic classes of smooth fibrations

Abstract

We construct characteristic classes of smooth (Hamiltonian) fibrations as as fiber integrals of products of Pontriagin (or Chern) classes of vertical vector bundles over the total space of the universal fibration. We give explicit formulae of these fiber integrals for toric manifolds and get estimates of the dimension of the cohomology groups of classifying spaces.

23 pages, 3 figures

References in corpus (2)

• Lectures on Groups of Symplectomorphisms
• Cohomological properties of ruled symplectic structures

Cited by in corpus (6)

• Homotopy properties of Hamiltonian group actions
• Lectures on Groups of Symplectomorphisms
• The diffeomorphism group of a K3 surface and Nielsen realization
• On the algebraic independence of Hamiltonian characteristic classes
• Remarks on invariants of hamiltonian loops
• Continuous families of Hamiltonian torus actions