Abstract
A version of the Donaldson-Thomas invariants of a Calabi-Yau threefold is proposed as a conjectural mathematical definition of the Gopakumar-Vafa invariants. These invariants have a local version, which is verified to satisfy the required properties for contractible curves. This provides a new viewpoint on the computation of the local Gromov-Witten invariants of contractible curves by Bryan, Leung, and the author.
Citation
S. Katz. "Genus zero Gopakumar-Vafa invariants of contractible curves." J. Differential Geom. 79 (2) 185 - 195, June 2008. https://doi.org/10.4310/jdg/1211512639
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