On higher rank Donaldson-Thomas invariants

2010/02/18 by Kentaro Nagao, Nagao, Kentaro
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1002.3608

openalex publication_date 2010/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study higher rank Donaldson-Thomas invariants of a Calabi-Yau 3-fold using Joyce-Song's wall-crossing formula. We construct quivers whose counting invariants coincide with the Donaldson-Thomas invariants. As a corollary, we prove the integrality and a certain symmetry for the higher rank invariants.

Citations

• Donaldson-Thomas invariants via microlocal geometry
• On a computation of rank two Donaldson-Thomas invariants
• Derived categories of small toric Calabi-Yau 3-folds and counting invariants
• Stability structures, motivic Donaldson-Thomas invariants and cluster transformations
• Cohomology of quiver moduli, functional equations, and integrality of Donaldson–Thomas type invariants

Related

• On a computation of rank two Donaldson-Thomas invariants
• Donaldson-Thomas theory for Calabi-Yau 4-folds
• Donaldson-Thomas invariants of symmetric quivers
• Wall-crossing of the motivic Donaldson-Thomas invariants
• Donaldson-Thomas Invariants and Flops