64 citations · 192 across the 16 of their papers we have counts for
6 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…
Geometry and Topology of String Junctions
Antonella Grassi, James Halverson, Julius L. Shaneson
We study elliptic fibrations by analyzing suitable deformations of the fibrations and vanishing cycles. We introduce geometric string junctions and describe some of their propertie…
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…
Genera of algebraic varieties and counting of lattice points
Sylvain E. Cappell, Julius L. Shaneson
This paper announces results on the behavior of some important algebraic and topological invariants --- Euler characteristic, arithmetic genus, and their intersection homology anal…