Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property
classification
🧮 math.AG
math.AT
keywords
atiyah-meyerformulaehodge-theoreticalgebraicapplicationscharacteristicchern-hirzebruch-serreclasses
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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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