Back to Search Start Over

Motivic and derived motivic Hirzebruch classes

Authors :
Brasselet, Jean-Paul
Schuermann, Joerg
Yokura, Shoji
Source :
Homology, Homotopy and Applications, Vo. 18(2) (2016), 283-301
Publication Year :
2015

Abstract

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}<br />Comment: 19 pages, comments are welcome: we have made some revisions; to appear in Homology, Homotopy and Applications

Details

Database :
arXiv
Journal :
Homology, Homotopy and Applications, Vo. 18(2) (2016), 283-301
Publication Type :
Report
Accession number :
edsarx.1512.05880
Document Type :
Working Paper
Full Text :
https://doi.org/10.4310/HHA.2016.v18.n2.a16