Instantons on ALE spaces for classical groups, involutions on quiver varieties, and quantum symmetric pairs

Kavli Affiliate: Hiraku Nakajima

| First 5 Authors: Hiraku Nakajima, Hiraku Nakajima, , ,

| Summary:

Moduli spaces of instantons on ALE spaces for classical groups are examples
of fixed point sets of involutions on quiver varieties, i.e., $sigma$-quiver
varieties. In 2018 Yiqiang Li considered their equivariant cohomology, and by
stable envelope of Maulik-Okounkov, constructed representations of coideal
subalgebras of Maulik-Okounkov Yangian, called twisted Yangian. We calculate
$K$-matrices as matrices in examples, identified the twisted Yangians with ones
studied in other literature, and clarify conditions which we should impose to
make them well-defined.

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