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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 185-195 |
| Number of pages | 11 |
| Journal | Journal of Differential Geometry |
| Volume | 79 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2008 |
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Geometry and Topology