Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds

Abstract

Motivated by previous computations of Y. Cao, M. Kool and the author, we propose square roots and sign rules for the vertex and edge terms that compute Donaldson-Thomas invariants of a toric Calabi-Yau 4-fold, and prove that they are canonical, exploiting the combinatorics of plane and solid partitions.

16 pages, published version

References in corpus (3)

• Counting sheaves on Calabi-Yau 4-folds, I
• Higher rank K-theoretic Donaldson-Thomas theory of points
• Gopakumar-Vafa type invariants on Calabi-Yau 4-folds via descendent insertions

Cited by in corpus (8)

• Noncommutative Instantons in Diverse Dimensions
• Tetrahedron instantons in Donaldson-Thomas theory
• Gauge origami and quiver W-algebras III: Donaldson--Thomas $qq$-characters
• A Donaldson-Thomas crepant resolution conjecture on Calabi-Yau 4-folds
• Gauge origami and quiver W-algebras IV: Pandharipande--Thomas $qq$-characters
• An Overview of Crystals and Double Quiver Yangians
• The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue
• Equivariant Segre and Verlinde invariants for Quot schemes