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Super-rigid Donaldson-Thomas Invariants

2007; International Press of Boston; Volume: 14; Issue: 4 Linguagem: Inglês

10.4310/mrl.2007.v14.n4.a2

ISSN

1945-001X

Autores

Kai Behrend, Jim Bryan,

Tópico(s)

Advanced Combinatorial Mathematics

Resumo

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 [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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