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The Wheel Conditions and K-theoretic Hall Algebras
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The Wheel Conditions and K-theoretic Hall Algebras
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In this note, we give a geometric realization of the wheel conditions initiated by Feigin-Odesskii through the K-theoretic Hall algebra on the affine plane.
Forward citations
Cited by 3 Pith papers
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The loop-nilpotent cohomological Hall algebra
Loop-nilpotent CoHAs of tripled quivers are isomorphic to an explicit integral shuffle algebra, yielding generators, Coulomb-branch surjections, BPS characterizations, and a new Kac-polynomial formula.
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Hall induction for cotangent representations and wheel conditions
For cotangent representations of reductive groups with a suitable torus, Borel-Moore homology of the zero fiber is torsion free and the K-theoretic restriction satisfies wheel-type ideal divisibility conditions.
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$K$-theoretic Hall algebras and Coulomb branches
Constructs a surjective homomorphism from the double loop-nilpotent K-theoretic Hall algebra to the Coulomb branch algebra of a quiver gauge theory using shuffle algebra methods.
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