Can I read D-critical loci for local toric Calabi-Yau 3-folds on EtoBox?

D-critical loci for local toric Calabi-Yau 3-folds by Katz, Sheldon; Shi, Yun is a scholarly article available to read on EtoBox.

What is D-critical loci for local toric Calabi-Yau 3-folds about?

The notion of a d-critical locus is an ingredient in the definition of motivic Donaldson-Thomas invariants by [BJM19]. There is a canonical d-critical locus structure on the Hilbert scheme of dimension zero subschemes on local toric Calabi-Yau 3-folds. This is obtained by truncating the $-1$-shifted symplectic structure on the derived moduli stack [BBBBJ15]. In this paper we show the canonical d-critical locus structure has critical charts consistent with the description of Hilbert scheme as a degeneracy locus [BBS13]. In particular, the canonical d-critical locus structure is isomorphic to the one constructed in [KS12] for local $\mathbb{P}^2$ and local $\mathbb{F}_n$.

Author

Katz, Sheldon; Shi, Yun

Published

2021

Language

EN