Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex (Q436141)
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scientific article; zbMATH DE number 6060964
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex |
scientific article; zbMATH DE number 6060964 |
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Motivic Donaldson-Thomas invariants of the conifold and the refined topological vertex (English)
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30 July 2012
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The authors study the motivic refinement of Donaldson-Thomas theory and related enumerative theories associated to the local conifold given by the total space of the rank two vector bundle \(O(-1)\oplus O(-1)\) over the projective line \(\mathbb P^1\). The main result is the computation of the generating series of the motivic classes of of vanishing cycles of the conifold potential. The answer is a product formula whose factors depend on the position of the stability vector.
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motivic Donaldson-Thomas theory
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resolved conifold
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product formulas
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