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Motivic Chern classes of configuration spaces (1912.00213v2)
Published 30 Nov 2019 in math.AG and math.AT
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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