Genus-2 \(\operatorname{G}\)-function for \(\mathbb{P}^1\) orbifolds

DOI10.1016/j.aim.2015.01.011zbMath1368.53058arXiv1402.3854OpenAlexW2962961800MaRDI QIDQ2359940

Xin Wang, Xiaobo Liu

Publication date: 23 June 2017

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3854

zbMATH Keywords

Frobenius manifoldcohomological field theory\(P^1\) orbifoldgenus-2 \(\operatorname{G}\)-function

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45)

Related Items (1)

The genus two G-function for the cubic elliptic singularity

Cites Work

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• Proof of a conjecture on the genus two free energy associated to the \(A_n\) singularity
• Quantum product on the big phase space and the Virasoro conjecture
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• On the genus two free energies for semisimple Frobenius manifolds
• Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology
• Conditions for the vanishing of the genus-2 G-function
• Gromov-Witten theory of Deligne-Mumford stacks

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