2022
DOI: 10.1090/proc/13455
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Combinatorial description of jumps in spectral networks defined by quadratic differentials

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.2010 Mathematics Subject Classification. Primary 58K20; Secondary 30F30, 52B11, 58K15, 81T40, 81T60.

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Cited by 3 publications
(1 citation statement)
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“…[17,20,11] to name a few. Similar ideas were used by M.Bertola in his work on Boutroux curves [3], see also [14,21] . We need a graphical description of curves which allows us to effectively reconstruct the period mapping.…”
Section: Pictorial Representation Of Curvesmentioning
confidence: 85%
“…[17,20,11] to name a few. Similar ideas were used by M.Bertola in his work on Boutroux curves [3], see also [14,21] . We need a graphical description of curves which allows us to effectively reconstruct the period mapping.…”
Section: Pictorial Representation Of Curvesmentioning
confidence: 85%