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arxiv: 1107.5017 · v1 · submitted 2011-07-25 · 🧮 math.AG · hep-th

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

Andrew Morrison , Sergey Mozgovoy , Kentaro Nagao , Balazs Szendroi
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classification 🧮 math.AG hep-th
keywords motivicconifoldanswercorrespondingdonaldson-thomasinvariantsrefinedresolved
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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.

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  1. Cycle Relations and Global Gluing in Multi-Node Conifold Degenerations

    math.AG 2026-04 unverdicted novelty 5.0

    Cycle relations in multi-node conifold degenerations constrain perverse and mixed-Hodge extensions to an incidence-controlled subspace, yielding R_res = R_sm = R_ext = R_blk in block-separated families.