Positive crossratios, barycenters, trees and applications to maximal representations

We study metric properties of maximal framed representations of fundamental groups of surfaces in symplectic groups over real closed fields, interpreted as actions on Bruhat-Tits buildings endowed with adapted Finsler norms. We prove that the translation length can be computed as intersection with a...

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Bibliographic Details
Main Authors: Burger, Marc (Author) , Iozzi, Alessandra (Author) , Parreau, Anne (Author) , Pozzetti, Maria Beatrice (Author)
Format: Article (Journal) Chapter/Article
Language:English
Published: 31 Mar 2021
In: Arxiv
Year: 2021, Pages: 1-56
DOI:10.48550/arXiv.2103.17161
Online Access:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.48550/arXiv.2103.17161
Verlag, lizenzpflichtig, Volltext: http://arxiv.org/abs/2103.17161
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Author Notes:M. Burger, A. Iozzi, A. Parreau, and M.B. Pozzetti
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Positive crossratios, barycenters, trees and applications to maximal representations by Burger, Marc (Author) , Iozzi, Alessandra (Author) , Parreau, Anne (Author) , Pozzetti, Maria Beatrice (Author) ,


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