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.

44 pages

References in corpus (4)

• Three questions in Gromov-Witten theory
• 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

Cited by in corpus (6)

• Structure of Higher Genus Gromov-Witten Invariants of Quintic 3-folds
• Punctured logarithmic maps
• A smooth compactification of the space of genus two curves in projective space via logarithmic geometry and Gorenstein curves
• Motivic integration and the birational invariance of BCOV invariants
• Quantum Lefschetz without curves
• $K$-theoretic quasimap wall-crossing