Abstract
We present a definition of twisted motivic Chern classes for singular pairs (X,Δ) consisting of a singular space X and a Q-Cartier divisor containing the singularities of X. The definition is a mixture of the construction of motivic Chern classes previously defined by Brasselet-Schürmann-Yokura with the construction of multiplier ideals. The twisted motivic Chern classes are the limits of the elliptic classes defined by Borisov-Libgober. We show that with a suitable choice of the divisor Δ the twisted motivic Chern classes satisfy the axioms of the stable envelopes in the K-theory. Our construction is an extension of the results proven by the first author for the fundamental slope.
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