Gromov-Witten theory and Donaldson-Thomas theory, II

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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.
28 pages, revised version

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/71443

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0406092
 http://arxiv.org/abs/math/0406092

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arXiv