Independent Rigid Secondary Classes for Holomorphic Foliations.
Index invariants of orbit spaces.
Integration of cocycles and Lefschetz number formulae for differential operators.
Intersection pairings in moduli spaces of holomorphic bundles on a Riemann surface.
Invariant connections and invariant holomorphic bundles on homogeneous manifolds
Let X be a differentiable manifold endowed with a transitive action α: A×X→X of a Lie group A. Let K be a Lie group. Under suitable technical assumptions, we give explicit classification theorems, in terms of explicit finite dimensional quotients, of three classes of objects: equivalence classes of α-invariant K-connections on X α-invariant gauge classes of K-connections on X, andα-invariant isomorphism classes of pairs (Q,P) consisting of a holomorphic Kℂ-bundle Q → X and a K-reduction P of Q (when...