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.

arXiv comment16 pages, published version

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Cited by in corpus (9)

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