Constructs nested non-commutative Hilbert scheme on C^n, equips nested Hilbert scheme on C^2 with equivalent obstruction theory, and derives closed formula for equivariant virtual Euler characteristic generating series via torus localization and bundle maps.
Virtual fundamental classes, global normal cones and Fulton's canonical classes
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Virtual K-theoretic invariants of the nested Hilbert scheme on $\mathbb{C}^2$
Constructs nested non-commutative Hilbert scheme on C^n, equips nested Hilbert scheme on C^2 with equivalent obstruction theory, and derives closed formula for equivariant virtual Euler characteristic generating series via torus localization and bundle maps.