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arXiv · 1512.05880

Motivic and derived motivic Hirzebruch classes

Jean-Paul Brasselet·Joerg Schuermann·Shoji Yokura
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Abstract

In this paper we give a formula for the Hirzebruch $χ_y$-genus $χ_y(X)$ 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}

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Jean-Paul Brasselet, Joerg Schuermann, Shoji Yokura. 2016-03-20. Motivic and derived motivic Hirzebruch classes. https://doi.org/10.4310/hha.2016.v18.n2.a16

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