Twisted Yangians and Steinberg varieties of type C
Changjian Su, Yang Yang
TL;DR
This paper explores the connection between twisted Yangians of type AIII and the equivariant homology of Steinberg varieties of type C, establishing a surjective algebra homomorphism.
Contribution
It demonstrates a surjective algebra homomorphism from twisted Yangians of type AIII to the equivariant homology of type C Steinberg varieties, revealing a new algebraic-geometric link.
Findings
Existence of a surjective algebra homomorphism from twisted Yangian to Steinberg variety homology.
Establishment of a new algebraic-geometric correspondence in type C.
Advancement in understanding the structure of Steinberg varieties via Yangians.
Abstract
We study the equivariant homology of the generalized Steinberg variety of type C and show that there exists a surjective algebra homomorphism from the twisted Yangian of type to it.
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