# 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.

## 17 Citations

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We study the differential polynomial rings which are defined using the special geometry of the moduli spaces of Calabi-Yau threefolds. The higher genus topological string amplitudes are expressed as…

### Direct computation of monodromy matrices and classification of 4d $$ \mathcal{N} $$ = 2 heterotic-IIA dual vacua

- MathematicsJournal of High Energy Physics
- 2022

Abstract
We compute the monodromy matrices on the special geometry of 4d $$ \mathcal{N} $$
N
= 2 Heterotic-IIA dual vacua in some simple cases by numerical evaluation of the period integrals,…

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