A mirror theorem for genus two Gromov-Witten invariants of quintic threefolds

Abstract

We derive a closed formula for the generating function of genus two Gromov-Witten invariants of quintic 3-folds and verify the corresponding mirror symmetry conjecture of Bershadsky, Cecotti, Ooguri and Vafa.

arXiv comment44 pages

References in corpus (10)

• Phases of $N=2$ Theories In Two Dimensions
• Topological String Partition Functions as Polynomials
• The moduli space of stable quotients
• Three questions in Gromov-Witten theory
• Elliptic Gromov - Witten invariants and the generalized mirror conjecture
• Landau-Ginzburg/Calabi-Yau Correspondence of all Genera for Elliptic Orbifold $p^1$
• Genus-One Mirror Symmetry in the Landau-Ginzburg Model
• Gromov-Witten theory and cycle-valued modular forms
• Gromov-Witten Theory of Quotient of Fermat Calabi-Yau varieties
• Higher-genus wall-crossing in Landau-Ginzburg theory

Cited by in corpus (18)

• On the Remodeling Conjecture for Toric Calabi-Yau 3-Orbifolds
• Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds
• Punctured logarithmic maps
• Virtual cycles of stable (quasi)-maps with fields
• The logarithmic gauged linear sigma model
• BCOV's Feynman rule of quintic $3$-folds
• Polynomial structure of Gromov-Witten potential of quintic $3$-folds via NMSP
• A smooth compactification of the space of genus two curves in projective space via logarithmic geometry and Gorenstein curves
• Towards a quantum Lefschetz hyperplane theorem in all genera
• A Remark on Gromov-Witten Invariants of Quintic Threefold
• Quasimap wall-crossing for GIT quotients
• Motivic integration and the birational invariance of BCOV invariants
• Versality in mirror symmetry
• Quantum Lefschetz without curves
• A mirror theorem for Gromov-Witten theory without convexity
• Equivariant holomorphic anomaly equation
• Variations on the theme of quantum Lefschetz
• $K$-theoretic quasimap wall-crossing