Categorical and K-theoretic Donaldson–Thomas theory of $\mathbb {C}^3$ (part II)

Abstract

Quasi-BPS categories appear as summands in semiorthogonal decompositions of DT categories for Hilbert schemes of points in the three-dimensional affine space and in the categorical Hall algebra of the two-dimensional affine space. In this paper, we prove several properties of quasi-BPS categories analogous to BPS sheaves in cohomological DT theory.

Keywords

• 14N35
• 18N25
• 19E08