Mariño-Vafa formula and Hodge integral identities

DOI10.1090/S1056-3911-05-00419-4zbMath1102.14018arXivmath/0308015MaRDI QIDQ5487964

Jian Zhou, Chiu-Chu Melissa Liu, Ke Feng Liu

Publication date: 13 September 2006

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0308015

zbMATH Keywords

Hodge integralsmoduli space of curvesMariño-Vafa formula

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Families, moduli of curves (algebraic) (14H10) 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 (6)

Hodge integrals and invariants of the unknot ⋮ Reduction of the 2D Toda hierarchy and linear Hodge integrals ⋮ The remodeling conjecture and the Faber-Pandharipande formula ⋮ Hodge integrals with one \(\lambda \)-class ⋮ On explicit formulae of LMOV invariants ⋮ Computation of open Gromov-Witten invariants for toric Calabi-Yau 3-folds by topological recursion, a proof of the BKMP conjecture

Cites Work

• Virasoro constraints for target curves
• Relative Gromov-Witten invariants
• Hodge integrals, partition matrices, and the \(\lambda_g\) conjecture
• A degeneration formula of GW-invariants
• Virasoro constraints and the Chern classes of the Hodge bundle
• Hurwitz numbers and intersections on moduli spaces of curves.
• Stable morphisms to singular schemes and relative stable morphisms.
• The symplectic sum formula for Gromov-Witten invariants
• Hodge integrals and invariants of the unknot
• A proof of a conjecture of Mariño-Vafa on Hodge integrals
• On a proof of a conjecture of Mariño-Vafa on Hodge integrals
• Hodge integrals and Gromov-Witten theory
• The number of ramified coverings of the sphere by the torus and surfaces of higher genera
• The number of ramified covering of a Riemann surface by Riemann surface
• Symplectic surgery and Gromov-Witten invariants of Calabi-Yau 3-folds
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Mariño-Vafa formula and Hodge integral identities