Motivic Chern classes of configuration spaces
Tom 254 / 2021
Fundamenta Mathematicae 254 (2021), 155-180 MSC: Primary 14C17; Secondary 19L47, 55R80. DOI: 10.4064/fm840-11-2020 Opublikowany online: 2 March 2021
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.