Quadratic recursion relations of Hodge intervals via localization

DOI10.1007/s10114-003-0260-8zbMath1034.53093OpenAlexW2038209441MaRDI QIDQ1396011

Jian Zhou, Tian, Gang

Publication date: 2003

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-003-0260-8

zbMATH Keywords

Hodge integralsLocalizationBPS numbers

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) 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 (2)

A note on Marino-Vafa formula ⋮ Blow-up formulae of high genus Gromov-Witten invariants for threefolds

Cites Work

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• Mirror principle. I
• Intersection theory on the moduli space of curves and the matrix Airy function
• The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
• Localization of virtual classes
• Topological gravity as large \(N\) topological gauge theory
• Geometric engineering of quantum field theories
• Higher genus symplectic invariants and sigma models coupled with gravity
• Hodge integrals, partition matrices, and the \(\lambda_g\) conjecture
• The Toda equations and the Gromov-Witten theory of the Riemann sphere
• Hurwitz numbers and intersections on moduli spaces of curves.
• The Hurwitz enumeration problem of branched covers and Hodge integrals
• Mirror principle. III
• Hodge integrals and Gromov-Witten theory
• Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians
• Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Local mirror symmetry: Calculations and interpretations
• Logarithmic series and Hodge integrals in the tautological ring. With an appendix by Don Zagier.
• A mathematical theory of quantum cohomology

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