21 citations · 61 across the 25 of their papers we have counts for
7 papers · 1 filter
Equivariant toric geometry and Euler-Maclaurin formulae -- an overview
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann +1
We survey recent developments in the study of torus equivariant motivic Chern and Hirzebruch characteristic classes of projective toric varieties, with applications to calculating…
Equivariant toric geometry and Euler-Maclaurin formulae
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann +1
We consider equivariant versions of the motivic Chern and Hirzebruch characteristic classes of a quasi-projective toric variety, and extend many known results from non-equivariant…
Characteristic classes of Hilbert schemes of points via symmetric products
Sylvain Cappell, Laurentiu Maxim, Toru Ohmoto +2
We obtain a formula for the generating series of (the push-forward under the Hilbert-Chow morphism of) the Hirzebruch homology characteristic classes of the Hilbert schemes of poin…
Characteristic classes of symmetric products of complex quasi-projective varieties
Sylvain E. Cappell, Laurentiu Maxim, Joerg Schuermann +2
We prove generating series formulae for suitable twisted characteristic classes of symmetric products of a singular complex quasi-projective variety. More concretely, we study homo…
Equivariant characteristic classes of singular complex algebraic varieties
Sylvain E. Cappell, Laurentiu Maxim, Joerg Schuermann +1
Homology Hirzebruch characteristic classes for singular varieties have been recently defined by Brasselet-Schuermann-Yokura as an attempt to unify previously known characteristic c…
Hodge genera of algebraic varieties, I
Sylvain E. Cappell, Laurentiu G. Maxim, Julius L. Shaneson
The aim of this paper is to study the behavior of Hodge-theoretic (intersection homology) genera and their associated characteristic classes under proper morphisms of complex algeb…