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arXiv · 1103.4229

Stability conditions and curve counting invariants on Calabi-Yau 3-folds

Yukinobu Toda
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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, e.g. 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.

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Yukinobu Toda. 2011-12-21. Stability conditions and curve counting invariants on Calabi-Yau 3-folds. https://doi.org/10.1215/21562261-1503745

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