The paper claims a general existence theorem for Boutroux curves via minimizing a regularized area functional over Newton polygon deformations.
Cell decomposition and compactification of Riemann's moduli space in decorated Teichm\"uller theory
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abstract
This survey covers earlier work of the author as well as recent work on Riemann's moduli space, its canonical cell decomposition and compactification, and the related operadic structure of arc complexes.
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math-ph 1years
2024 1verdicts
REJECT 1representative citing papers
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Existence of Boutroux curves, $g$-functions and spectral networks from Newton's polygon
The paper claims a general existence theorem for Boutroux curves via minimizing a regularized area functional over Newton polygon deformations.