26 citations · 66 across the 26 of their papers we have counts for
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On the formal Peterson subalgebra and its dual
Rui Xiong, Kirill Zainoulline, Changlong Zhong
In the present notes, we study a generalization of the Peterson subalgebra to an oriented (generalized) cohomology theory which we call the formal Peterson subalgebra. Observe that…
A Langlands duality of elliptic Hecke algebras
Gufang Zhao, Changlong Zhong
Associated to any root datum, there is an elliptic affine Hecke algebra defined by Ginzburg, Kapranov, and Vasserot. In this study, we establish a Fourier-Mukai functor from the re…
Elliptic classes via the periodic Hecke module and its Langlands dual
Cristian Lenart, Gufang Zhao, Changlong Zhong
This paper explores a construction of the elliptic classes of the Springer resolution using the periodic Hecke module. The module is established by employing the Poincaré line bund…
Equivariant oriented homology of the affine Grassmannian
Changlong Zhong
We generalize the property of small-torus equivariant K-homology of the affine Grassmannian to general oriented (co)homology theory in the sense of Levine and Morel. The main tool…