Solving the topological string on K3 fibrations

@article{Haghighat2009SolvingTT,
  title={Solving the topological string on K3 fibrations},
  author={Babak Haghighat and Albrecht Klemm},
  journal={Journal of High Energy Physics},
  year={2009},
  volume={2010},
  pages={1-52}
}
We present solutions of the holomorphic anomaly equations for compact twoparameter 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. 

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