Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex

2011/07/25 by Morrison, Andrew, Mozgovoy, Sergey, Nagao, Kentaro +1 · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1107.5017

Abstract

We compute the motivic Donaldson-Thomas theory of the resolved conifold, in all chambers of the space of stability conditions of the corresponding quiver. The answer is a product formula whose terms depend on the position of the stability vector, generalizing known results for the corresponding numerical invariants. Our formulae imply in particular a motivic form of the DT/PT correspondence for the resolved conifold. The answer for the motivic PT series is in full agreement with the prediction of the refined topological vertex formalism.

Cited by

• Motivic DT/PT Correspondence

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