Large-scale geometry of the saddle connection graph
نویسندگان
چکیده
We prove that the saddle connection graph associated to any half-translation surface is $4$âhyperbolic and uniformly quasi-isometric regular countably infinite-valent tree. Consequently, not quasi-isometrically rigid. also characterise its Gromov boundary as set of straight foliations with no connections. In our arguments, we give a generalisation unicorn paths in arc which may be independent interest.
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2021
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8448