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Cell decomposition and compactification of Riemann's moduli space in decorated Teichm\"uller theory

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arxiv math/0306190 v2 pith:L7WUPS6P submitted 2003-06-11 math.GT math.DG

classification math.GTmath.DG
keywords cellcompactificationdecompositionmoduliriemannspaceworkauthor
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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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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Existence of Boutroux curves, $g$-functions and spectral networks from Newton's polygon

    math-ph 2024-11 reject novelty 7.0 of 10

    The paper claims a general existence theorem for Boutroux curves via minimizing a regularized area functional over Newton polygon deformations.

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