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math.AG2023
Automorphisms of the Quantum Cohomology of the Springer Resolution and Applications
Changzheng Li, Changjian Su, Rui Xiong
In this paper, we introduce quantum Demazure--Lusztig operators acting by ring automorphisms on the equivariant quantum cohomology of the Springer resolution. Our main application…
math.AG2023
Structure algebras, Hopf algebroids and oriented cohomology of a group
Martina Lanini, Rui Xiong, Kirill Zainoulline
We prove that the structure algebra of a Bruhat moment graph of a finite real root system is a Hopf algebroid with respect to the Hecke and the Weyl actions. We introduce new techn…