Canonical vertex formalism in DT theory of toric Calabi-Yau 4-folds
Sergej Monavari
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.
Topics & Concepts
Calabi–Yau manifoldMathematicsVertex (graph theory)Formalism (music)CombinatoricsComputationPure mathematicsSign (mathematics)Mathematical analysisGraphAlgorithmMusicalArtVisual artsAlgebraic Geometry and Number TheoryAdvanced Combinatorial MathematicsAlgebraic structures and combinatorial models