A genus-one FJRW invariant via two methods

Li, Jun; Li, Weiping; Shen, Yongjun; Zhou, Jie

doi:10.1007/s00209-022-03133-1

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Applying To the Fjrw Invariant1

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2023

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“…Then in Proposition 15 and Corollary 17, we analyze the latter virtual class explicitly by cosection localization. Finally, we deduce Proposition 8 from these results and explicit computations in [38].…”

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confidence: 52%

See 1 more Smart Citation

Higher genus FJRW invariants of a Fermat cubic

Li,

Shen,

Zhou

2023

Geom. Topol.

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where Ꮿ hol .E 2i / for i D 1; 2; 3 are holomorphic Cayley transformations of the Eisenstein series E 2 , E 4 , E 6 whose expansions can be computed explicitly, while fb m;n g m;n are rational numbers that can be obtained recursively.The holomorphic anomaly equations (HAEs) discovered by Oberdieck and Pixton [42] and the Virasoro constraints discovered by Okounkov and Pandharipande [44] for the GW theory of elliptic curves also carry over to the corresponding FJRW theory. See Corollaries 23 and 24 for the explicit statements.

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confidence: 52%

“…Note that the first term in (3-12) can be calculated by Chiodo's formula [9]. The calculation is subtle and lengthy, and the details are given in [38]. An alternative approach to computing this invariant using the mixed-spin-P fields method developed in [7; 8] is also presented in [38].…”

Section: Applying To the Fjrw Invariantmentioning

confidence: 99%