Matrix factorizations and motivic measures (Q344487)

This is a continuation of the article [J. Noncommut. Geom. 10, No. 3, 907--979 (2016; Zbl 1360.14063)] by the same authors. The main goal of the article is to construct a morphism of rings from the motivic Grothendieck group of varieties over \(\mathbb{A}^1\) to the Grothendieck group of saturated dg categories (i.e. a Landau-Ginzburg motivic measure); see Theorem 5.2 of the article for the precise statement. Along the way, they establish conditions under which dg enhancements of matrix factorization categories are smooth and proper, and they prove a Thom-Sebastiani-type theorem for dg enhancements of matrix factorization categories (Section 4).