Super-rigid Donaldson-Thomas invariants

Mathematics – Algebraic Geometry

Scientific paper

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Scientific paper

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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