Chern characters via connections up to homotopy

Mathematics – Differential Geometry

Scientific paper

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6 pages

Scientific paper

The aim of this note is to point out that Chern characters can be computed
using curvatures o ``super-connections up to homotopy'. We also present an
application to the vanishing theorem for Lie algebroids which is at the origin
of new secondary classes of algebroids (Fernandes), hence, in particular, of
Poisson manifolds.

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