Solving the Topological String on K3 Fibrations

Abstract

We present solutions of the holomorphic anomaly equations for compact two-parameter Calabi-Yau manifolds which are hypersurfaces in weighted projective space. In particular we focus on K3-fibrations where due to heterotic type II duality the topological invariants in the fibre direction are encoded in certain modular forms. The formalism employed provides holomorphic expansions of topological string amplitudes everywhere in moduli space.

60 pages, 1 figure, With an appendix by Sheldon Katz

References in corpus (5)

• Open string amplitudes and large order behavior in topological string theory
• Remodeling the B-model
• Holomorphic Anomaly in Gauge Theories and Matrix Models
• Polynomial Structure of the (Open) Topological String Partition Function
• Topological Strings on Grassmannian Calabi-Yau manifolds

Cited by in corpus (5)

• Direct Integration and Non-Perturbative Effects in Matrix Models
• Heterotic-Type IIA Duality and Degenerations of K3 Surfaces
• Modular Forms as Classification Invariants of 4D N=2 Heterotic--IIA Dual Vacua
• Towards Refining the Topological Strings on Compact Calabi-Yau 3-folds
• Direct Computation of Monodromy Matrices and Classification of 4d N=2 Heterotic--IIA Dual Vacua