Mathematical Research Letters

Volume 14, Issue 4, July 2007 pp. 559-571.

Super-rigid Donaldson-Thomas Invariants

Authors: Kai Behrend (1) and Jim Bryan (2)
Author institution: The University of British Columbia (1) and The University of British Columbia (2)

Summary: 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 of \cite{MNOP} 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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