# Combinatorial description of jumps in spectral networks.

@article{Frolova2015CombinatorialDO, title={Combinatorial description of jumps in spectral networks.}, author={Anastasia Frolova and Alexander Vasil’ev}, journal={arXiv: Geometric Topology}, year={2015} }

We describe a graph parametrization of rational quadratic differentials with presence of a simple pole, whose critical trajectories form a network depending on parameters focusing on the network topological jumps. Obtained bifurcation diagrams are associated with the Stasheff polytopes.

## 2 Citations

### Combinatorial analysis of the period mapping: the topology of 2D fibres

- MathematicsSbornik: Mathematics
- 2019

We study the period mapping from the moduli space of real hyperelliptic curves to a Euclidean space. The mapping arises in the analysis of Chebyshev’s construction used in the constrained…

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