Abstract
The purpose of this paper is twofold. First we give a survey on the recent developments of curve counting invariants on Calabi–Yau 3-folds, for example, Gromov–Witten theory, Donaldson–Thomas theory, and Pandharipande–Thomas theory. Next we focus on the proof of the rationality conjecture of the generating series of PT invariants and discuss its conjectural Gopakumar–Vafa form.
Citation
Yukinobu Toda. "Stability conditions and curve counting invariants on Calabi–Yau 3-folds." Kyoto J. Math. 52 (1) 1 - 50, Spring 2012. https://doi.org/10.1215/21562261-1503745
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