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Moduli Space of Families of Positive (n − 1)-Weights

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Abstract

We show the geometrical structure of the moduli space of positive-weighted trees with n labels 1,…,n which realize the same family of positive (n − 1)-weights and we characterize them as a family of positive multi-weights.

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Acknowledgments

The author is very grateful to Agnese Baldisserri and Elena Rubei for kindly introducing him into the topic of weighted graphs. He wants to thank Xiuxiong Chen for constant support. Many thanks to the referee for careful reading of the manuscript.

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  1. Dipartimento di Matematica e Informatica “Ulisse Dini”, Universitá di Firenze, viale Morgagni 67/A, 50134, Florence, Italy

    Simone Calamai

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  1. Simone Calamai
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Correspondence to Simone Calamai.

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The author is supported by the Project PRIN “Varietà reali e complesse: geometria, topologia e analisi armonica”, by the Simons Center for Geometry and Physics, Stony Brook University, by SIR 2014 AnHyC ”Analytic aspects in complex and hypercomplex geometry” (code RBSI14DYEB), and by GNSAGA of INdAM

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Calamai, S. Moduli Space of Families of Positive (n − 1)-Weights. J Classif 37, 317–327 (2020). https://doi.org/10.1007/s00357-019-9305-2

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  • DOI: https://doi.org/10.1007/s00357-019-9305-2

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