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The local Donaldson-Thomas theory of curves

A. Okounkov·R. Pandharipande
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Abstract

The local Donaldson-Thomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating Gromov-Witten theory, Donaldson-Thomas theory, and the quantum cohomology of the Hilbert scheme of points of the plane. The quantum differential equation of the Hilbert scheme of points of the plane has a natural interpretation in the local Donaldson-Thomas theory of curves. The solution determines the 1-legged equivariant vertex.

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A. Okounkov, R. Pandharipande. 2005-12-26. The local Donaldson-Thomas theory of curves. https://arxiv.org/abs/math/0512573

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