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- W3120119489 abstract "We study quantum geometry of Nakajima quiver varieties of two different types—framed A-type quivers and ADHM quivers. While these spaces look completely different we find a surprising connection between equivariant K-theories thereof with a nontrivial match between their equivariant parameters. In particular, we demonstrate that quantum equivariant K-theory of $$A_n$$ quiver varieties in a certain $$nrightarrow infty $$ limit reproduces equivariant K-theory of the Hilbert scheme of points on $$mathbb {C}^2$$ . We analyze the correspondence from the point of view of enumerative geometry, representation theory and integrable systems. We also propose a conjecture which relates spectra of quantum multiplication operators in K-theory of the ADHM moduli spaces with the solution of the elliptic Ruijsenaars–Schneider model." @default.
- W3120119489 created "2021-01-18" @default.
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- W3120119489 date "2021-01-01" @default.
- W3120119489 modified "2023-10-18" @default.
- W3120119489 title "A-type Quiver Varieties and ADHM Moduli Spaces" @default.
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- W3120119489 doi "https://doi.org/10.1007/s00220-020-03915-w" @default.
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