Left Demazure–Lusztig Operators on Equivariant (Quantum) Cohomology and K-Theory
نویسندگان
چکیده
Abstract We study the Demazure–Lusztig operators induced by left multiplication on partial flag manifolds $G/P$. prove that they generate Chern–Schwartz–MacPherson classes of Schubert cells (in equivariant cohomology), respectively their motivic Chern K-theory), in any manifold. Along way, we advertise many properties and right divided difference cohomology K-theory actions classes. apply this to construct quantum cohomology, K-theory, generating satisfying a Leibniz rule compatible with product.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab049