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Gromov-Witten theory and Donaldson-Thomas theory, II

D. Maulik·N. Nekrasov·A. Okounkov·R. Pandharipande
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Abstract

We discuss the GW/DT correspondence for 3-folds in both the absolute and relative cases. Descendents in Gromov-Witten theory are conjectured to be equivalent to Chern characters of the universal sheaf in Donaldson-Thomas theory. Relative constraints in Gromov-Witten theory are conjectured to correspond in Donaldson-Thomas theory to cohomology classes of the Hilbert scheme of points of the relative divisor. Independent of the conjectural framework, we prove degree 0 formulas for the absolute and relative Donaldson-Thomas theories of toric varieties.

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D. Maulik, N. Nekrasov, A. Okounkov, R. Pandharipande. 2005-01-09. Gromov-Witten theory and Donaldson-Thomas theory, II. https://arxiv.org/abs/math/0406092

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