Motivic Chern classes of configuration spaces
Jakub Koncki
TL;DR
This paper computes equivariant motivic Chern classes for configuration spaces of quasiprojective varieties, providing formulas for generating series and extending localization theorems to establish stability properties.
Contribution
It introduces new formulas for motivic Chern classes of configuration spaces and generalizes localization theorems to these classes.
Findings
Formulas for generating series of motivic Chern classes
Stability results for configuration space classes
Extension of localization theorems to motivic Chern classes
Abstract
We calculate the equivariant motivic Chern class for configuration space of a quasiprojective (maybe singular) variety and the space of vectors with different directions. We prove the formulas for generating series of these classes. We generalize the localization theorems results about Bialynicki-Birula decomposition to acquire some stability for the motivic Chern classes of configuration spaces.
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