Universal equations for higher genus Gromov-Witten invariants from Hodge integrals

DOI10.1007/s00220-024-04931-warXiv2401.00899MaRDI QIDQ6202445

Xin Wang, Felix Janda

Publication date: 26 February 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2401.00899

Mathematics Subject Classification ID

Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Cites Work

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• The Witten equation, mirror symmetry, and quantum singularity theory
• A proof of the Faber intersection number conjecture
• Quantum Riemann-Roch, Lefschetz and Serre
• Quantum cohomology and Virasoro algebra
• Frobenius manifolds near the discriminant and relations in the tautological ring
• Quantum product on the big phase space and the Virasoro conjecture
• Hodge integrals and Gromov-Witten theory
• Geometric quantization with applications to Gromov-Witten theory
• Double ramification cycles on the moduli spaces of curves
• On certain vanishing identities for Gromov-Witten invariants
• New topological recursion relations
• A calculus for the moduli space of curves
• Relations on Mgn via equivariant Gromov-Witten theory of P1
• Relations on \overline{ℳ}_{ℊ,𝓃} via 3-spin structures
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.
• Topological recursion relations from Pixton's formula

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