Gromov-Witten theory and Donaldson-Thomas theory, II
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- June 2004
- DOI:
- 10.48550/arXiv.math/0406092
- arXiv:
- arXiv:math/0406092
- Bibcode:
- 2004math......6092M
- Keywords:
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- Algebraic Geometry
- E-Print:
- 28 pages, revised version