Super-rigid Donaldson-Thomas invariants

• Autores: Kai Behrend, Jim Bryan
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 4, 2007, págs. 559-571
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n4.a2
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• Resumen

  • 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.