Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property

Mathematics – Algebraic Geometry

Scientific paper

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Revised version to be published in the Proceedings of the School and Workshop on the Geometry and Topology of Singularities (L

Scientific paper

In this note we survey Hodge-theoretic formulae of Atiyah-Meyer type for
genera and characteristic classes of complex algebraic varieties, and derive
some new and interesting applications. We also present various extensions to
the singular setting of the Chern-Hirzebruch-Serre signature formula.

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