Characteristic classes of smooth fibrations

Details Characteristic classes of smooth fibrations Characteristic classes of smooth fibrations

2002-09-22

arxiv.org/abs/math/0209288v1

Mathematics

Symplectic Geometry

23 pages, 3 figures

Scientific paper

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.

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