Volume 25, issue 2 (2021)

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The theory of $N$–mixed-spin-$P$ fields

Huai-Liang Chang, Shuai Guo, Jun Li and Wei-Ping Li

Geometry & Topology 25 (2021) 775–811
Bibliography
1 D Abramovich, T J Jarvis, Moduli of twisted spin curves, Proc. Amer. Math. Soc. 131 (2003) 685 MR1937405
2 K Behrend, B Fantechi, The intrinsic normal cone, Invent. Math. 128 (1997) 45 MR1437495
3 H L Chang, S Guo, J Li, BCOV’s Feynman rule of quintic 3–folds, preprint (2018) arXiv:1810.00394
4 H L Chang, S Guo, J Li, Polynomial structure of Gromov–Witten potential of quintic 3–folds, preprint (2018) arXiv:1809.11058
5 H L Chang, S Guo, W P Li, J Zhou, Genus-one Gromov–Witten invariants of quintic three-folds via MSP localization, Int. Math. Res. Not. 2020 (2020) 6347 MR4165907
6 H L Chang, Y H Kiem, J Li, Torus localization and wall crossing for cosection localized virtual cycles, Adv. Math. 308 (2017) 964 MR3600080
7 H L Chang, J Li, Gromov–Witten invariants of stable maps with fields, Int. Math. Res. Not. 2012 (2012) 4163 MR2975379
8 H L Chang, J Li, A vanishing associated with irregular MSP fields, Int. Math. Res. Not. 2020 (2020) 7347 MR4172685
9 H L Chang, J Li, W P Li, Witten’s top Chern class via cosection localization, Invent. Math. 200 (2015) 1015 MR3348143
10 H L Chang, J Li, W P Li, C C M Liu, An effective theory of GW and FJRW invariants of quintics Calabi–Yau manifolds, preprint (2016) arXiv:1603.06184
11 H L Chang, J Li, W P Li, C C M Liu, Mixed-spin-P fields of Fermat polynomials, Cambridge J. Math. 7 (2019) 319 MR4010064
12 T Graber, R Pandharipande, Localization of virtual classes, Invent. Math. 135 (1999) 487 MR1666787
13 S Guo, D Ross, Genus-one mirror symmetry in the Landau–Ginzburg model, Algebr. Geom. 6 (2019) 260 MR3938619
14 T J Jarvis, T Kimura, A Vaintrob, Spin Gromov–Witten invariants, Comm. Math. Phys. 259 (2005) 511 MR2174415
15 Y H Kiem, J Li, Localizing virtual cycles by cosections, J. Amer. Math. Soc. 26 (2013) 1025 MR3073883
16 J Li, G Tian, Virtual moduli cycles and Gromov–Witten invariants of algebraic varieties, J. Amer. Math. Soc. 11 (1998) 119 MR1467172
17 M C Olsson, (Log) twisted curves, Compos. Math. 143 (2007) 476 MR2309994
18 E Witten, Phases of N = 2 theories in two dimensions, Nuclear Phys. B 403 (1993) 159 MR1232617
19 S Yamaguchi, S T Yau, Topological string partition functions as polynomials, J. High Energy Phys. 2004 (2004) MR2095047