Crepant Resolutions, Quivers and GW/NCDT Duality

TL;DR

This paper conjectures a relationship between local Gromov-Witten invariants of crepant resolutions of Calabi-Yau 3-folds with singularities and Donaldson-Thomas invariants of quiver representation moduli spaces, suggesting a duality.

Contribution

It introduces a new conjecture linking Gromov-Witten invariants and DT invariants via quiver representations in the context of crepant resolutions.

Findings

Proposes a conjectural duality between GW and DT invariants.

Connects geometric invariants of Calabi-Yau 3-folds with algebraic invariants of quivers.

Provides a framework for future proofs and computations in enumerative geometry.

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.