Motivic Chern classes of configuration spaces
Volume 254 / 2021
Fundamenta Mathematicae 254 (2021), 155-180
MSC: Primary 14C17; Secondary 19L47, 55R80.
DOI: 10.4064/fm840-11-2020
Published online: 2 March 2021
Abstract
We calculate the equivariant motivic Chern class for the configuration space of a quasiprojective (maybe singular) variety and the space of sequences of vectors with different directions. We prove formulas for the generating series of these classes. We generalize the localization theorems about Białynicki-Birula decomposition to deduce some stability results for the motivic Chern classes of configuration spaces.
