A Poincaré-Hopf type formula for Chern character numbers

Mathematics – Geometric Topology

Scientific paper

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10 pages

Scientific paper

For two complex vector bundles admitting a homomorphism with isolated
singularities between them, we establish a Poincar\'e-Hopf type formula for the
difference of the Chern character numbers of these two vector bundles. As a
consequence, we extend the original Poincar\'e-Hopf index formula to the case
of complex vector fields (to appear in Mathematische Zeitschrift)

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