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Curve counting theories on Calabi-Yau 3-folds: approach via stability conditions on derived categories. (English. Japanese original) Zbl 1396.14048

Sugaku Expo. 31, No. 2, 199-229 (2018); translation from Sūgaku 66, No. 4, 337-365 (2014).
Summary: This is an English translation of the expository article, Curve counting theories on Calabi-Yau 3-folds: Approach via stability conditions for derived categories (Japanese), Sugaku 66, No. 4, 337–365 (2014).

MSC:

14N35 Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects)
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
14-02 Research exposition (monographs, survey articles) pertaining to algebraic geometry
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