Combinatorial description of jumps in spectral networks defined by quadratic differentials

Frolova, Anastasia; Vasil’ev, Alexander

doi:10.1090/proc/13455

Combinatorial description of jumps in spectral networks defined by quadratic differentials
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by Anastasia Frolova and Alexander Vasil’ev;

Proc. Amer. Math. Soc. 151 (2023), 1349-1362

DOI: https://doi.org/10.1090/proc/13455

Published electronically: December 21, 2022

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Abstract:

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.

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