Crepant Resolutions, Quivers and GW/NCDT Duality

2009/07/01 by Jian Zhou, Zhou, Jian
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0907.0135

openalex publication_date 2009/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a conjecture that relates some local Gromov-Witten invariants of some crepant resolutions of Calabi-Yau 3-folds with isolated singularities with some Donaldson-Thomas type invariants of the moduli spaces of representations of some quivers with potentials.

Citations

• Localizations on Moduli Spaces and Free Field Realizations of Feynman Rules
• Lectures on D-branes, Gauge Theories and Calabi-Yau Singularities
• Donaldson-Thomas invariants via microlocal geometry
• Graded Calabi Yau algebras of dimension 3
• Derived categories of small toric Calabi-Yau 3-folds and counting invariants

Related

• Counting invariants for the ADE McKay quivers
• Crepant resolutions of orbit closures in Quiver representations of type A_n and D₄
• Crepant resolution conjecture for ℂ⁵/ℤ₅
• Crepant resolutions, mutations, and the space of potentials
• On GW/DT and Ruan's Conjecture in All Genus for Calabi-Yau 3-Orbifolds