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Motivic Hirzebruch Class and Related Topics

In: Handbook of Geometry and Topology of Singularities IV

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  • Shoji Yokura

    (Kagoshima University)

Abstract

The motivic Hirzebruch class is a characteristic class “unifying” three distinguished characteristic homology classes of singular varieties. In this survey we discuss characteristic cohomology classes of vector bundles, characteristic homology classes of singular varieties, the motivic Hirzebruch class and related topics such as Milnor class and Fulton–MacPherson’s bivariant theory etc., emphasizing “categorical aspects”, namely, natural transformations.

Suggested Citation

  • Shoji Yokura, 2023. "Motivic Hirzebruch Class and Related Topics," Springer Books, in: José Luis Cisneros-Molina & Lê Dũng Tráng & José Seade (ed.), Handbook of Geometry and Topology of Singularities IV, chapter 0, pages 307-410, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-31925-9_6
    DOI: 10.1007/978-3-031-31925-9_6
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