Abstract
This is the first part of our project toward proving the Bershadsky–Cecotti–Ooguri–Vafa Feynman graph sum formula of all genera Gromov–Witten invariants of quintic Calabi–Yau threefolds. We introduce the notion of –mixed-spin- fields, construct their moduli spaces, their virtual cycles and their virtual localization formulas, and obtain a vanishing result associated with irregular graphs.
Citation
Huai-Liang Chang. Shuai Guo. Jun Li. Wei-Ping Li. "The theory of $N$–mixed-spin-$P$ fields." Geom. Topol. 25 (2) 775 - 811, 2021. https://doi.org/10.2140/gt.2021.25.775
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