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PreprintarXiv licencearXiv

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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Cite

BibTeXRIS
BibTeX
@misc{parlier2026counting,
  title = {{Counting curves with bounded intersection}},
  author = {Hugo Parlier},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.32723},
  eprint = {2610.32723},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.32723},
}
RIS
TY  - UNPB
TI  - Counting curves with bounded intersection
AU  - Hugo Parlier
PY  - 2026
DA  - 2026/10/23
PB  - arXiv
DO  - 10.48550/arxiv.2610.32723
UR  - https://arxiv.org/abs/2610.32723
AB  - 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.
ER  -