Motivic Hirzebruch Class and Related Topics

Shoji Yokura ()
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Shoji Yokura: Kagoshima University

Chapter Chapter 6 in Handbook of Geometry and Topology of Singularities IV, 2023, pp 307-410 from Springer

Abstract: 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.

Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-31925-9_6

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DOI: 10.1007/978-3-031-31925-9_6

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