Gromov–Witten theory and Donaldson–Thomas theory, I

@inproceedings{Maulik2006GromovWittenTA,
  title={Gromov–Witten theory and Donaldson–Thomas theory, I},
  author={Davesh Maulik and Nikita A. Nekrasov and Andrei Yur'evich Okounkov and Rahul Pandharipande},
  year={2006}
}
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… CONTINUE READING

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