We analyze the torus fixed loci of Mixed Spin P fields moduli, and deduce its localization formulas with explicit factors. An algorithms toward evaluating quintic’s Gromov–Witten and Fan–Jarvis–Ruan–Witten invariants are derived.
Huai-Liang Chang was partially supported by Hong Kong grant GRF 16301515, GRF 16301717, GRF 16300119 and GRF 16300720.
Jun Li was partially supported by NSF grant DMS-1564500 and DMS-1601211.
Wei-Ping Li was partially supported by Hong Kong grant GRF 602512, GRF 16301515, GRF 16304119 and GRF 16303518.
Chiu-Chu Melissa Liu was partially supported by NSF grant DMS-1206667, DMS-1159416 and DMS-1564497.
"An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds." J. Differential Geom. 120 (2) 251 - 306, February 2022. https://doi.org/10.4310/jdg/1645207466