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Article Dans Une Revue Homology, Homotopy and Applications Année : 2016

Motivic and derived motivic Hirzebruch classes

Résumé

In this paper we give a formula for the Hirzebruch $\chi_y$-genus $\chi_y(X)$ and similarly for the motivic Hirzebruch class $T_{y*}(X)$ for possibly singular varieties $X$, using the Vandermonde matrix. Motivated by the notion of secondary Euler characteristic and higher Euler characteristic, we consider a similar notion for the motivic Hirzebruch class, which we call a \emph{derived motivic Hirzebruch class}

Dates et versions

hal-01310967 , version 1 (03-05-2016)

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Jean-Paul Brasselet, Jörg Schürmann, Shoji Yokura. Motivic and derived motivic Hirzebruch classes. Homology, Homotopy and Applications, 2016, 18 (2), pp.283 - 301. ⟨10.4310/HHA.2016.v18.n2.a16⟩. ⟨hal-01310967⟩
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