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arXiv · 2610.32723

Counting curves with bounded intersection

Hugo Parlier
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Abstract

This paper counts curves, and multicurves, on hyperbolic surfaces, providing explicit upper bounds that depend polynomially on length and exponentially in terms of an upper bound on self-intersection.

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Hugo Parlier. 2026-10-23. Counting curves with bounded intersection. https://arxiv.org/abs/2610.32723

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