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• W3137318231 abstract "Consider a complex algebraic group G acting on a smooth variety M with finitely many orbits, and let (Omega ) be an orbit. The following three invariants of (Omega subset M) can be characterized axiomatically: (1) the equivariant fundamental class ([overline{Omega }, M]in H^*_G(M)), (2) the equivariant Chern–Schwartz–MacPherson class ({{,mathrm{c^{sm}},}}(Omega , M)in H^*_G(M)), and (3) the equivariant motivic Chern class ({{,mathrm{mC},}}(Omega , M) in K_G(M)[y]). The axioms for Chern–Schwartz–MacPherson and motivic Chern classes are motivated by the axioms for cohomological and K-theoretic stable envelopes of Okounkov and his coauthors. For M a flag variety and (Omega ) a Schubert cell—an orbit of the Borel group acting—this implies that CSM and MC classes coincide with the weight functions studied by Rimányi–Tarasov–Varchenko. In this paper we review the general theory and illustrate it with examples." @default.
• W3137318231 created "2021-03-29" @default.
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• W3137318231 date "2020-01-01" @default.
• W3137318231 modified "2023-09-27" @default.
• W3137318231 title "Characteristic Classes of Orbit Stratifications, the Axiomatic Approach" @default.
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• W3137318231 doi "https://doi.org/10.1007/978-981-15-7451-1_9" @default.
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