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Super-rigid Donaldson-Thomas invariants

Kai Behrend·Jim Bryan
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Abstract

We solve the part of the Donaldson-Thomas theory of Calabi-Yau threefolds which comes from super-rigid rational curves. As an application, we prove a version of the conjectural Gromov-Witten/Donaldson-Thomas correspondence for contributions from super-rigid rational curves. In particular, we prove the full GW/DT correspondence for the quintic threefold in degrees one and two.

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Kai Behrend, Jim Bryan. 2006-01-10. Super-rigid Donaldson-Thomas invariants. https://arxiv.org/abs/math/0601203

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