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arXiv · 2510.13007

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

Hiraku Nakajima
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Abstract

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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BibTeXRIS

Hiraku Nakajima. 2025-10-14. Instantons on ALE spaces for classical groups, involutions on quiver varieties, and quantum symmetric pairs. https://arxiv.org/abs/2510.13007

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