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• W2213694853 abstract "Let $${Sigma}$$ be a hyperbolic surface. We study the set of curves on $${Sigma}$$ of a given type, i.e. in the mapping class group orbit of some fixed but otherwise arbitrary $${gamma_0}$$ . For example, in the particular case that $${Sigma}$$ is a once-punctured torus, we prove that the cardinality of the set of curves of type $${gamma_0}$$ and of at most length L is asymptotic to $${L^2}$$ times a constant." @default.
• W2213694853 created "2016-06-24" @default.
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• W2213694853 date "2016-06-01" @default.
• W2213694853 modified "2023-10-10" @default.
• W2213694853 title "Counting curves in hyperbolic surfaces" @default.
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• W2213694853 doi "https://doi.org/10.1007/s00039-016-0374-7" @default.
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