Fingerprints of Closed Trajectories of a Strebel Quadratic Differential
Gliaa Braek, Faouzi Thabet
TL;DR
This paper investigates the characteristics of closed trajectories of a specific Strebel quadratic differential, extending known results from polynomial and rational lemniscate cases to a broader class.
Contribution
It introduces a generalization of the fingerprint analysis for closed trajectories of Strebel quadratic differentials, expanding the understanding beyond polynomial and rational lemniscates.
Findings
Characterization of closed trajectories of the differential
Extension of fingerprint analysis to new differential classes
Connections to classical polynomial and lemniscate cases
Abstract
In this note, we study the fingerprints of closed smooth curves that are trajectories of a particular Strebel quadratic differentials. It is a generalization of the cases of polynomials and rational lemniscates.
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