Equivariant Hirzebruch class for quadratic cones via degenerations

Abstract

We compute the equivariant Hirzebruch class of the quadric cone in C^n degenerating it to an intersection to hyperplanes. The difference of the Hirzebruch classes (measured by the Milnor class) turns out to be the Hirzebruch class of the complement of the quadratic cone of smaller dimension.

14 pages, to appear in Journal of Singularities