English

A Reciprocity Formula on Multicurves

Combinatorics 2022-11-30 v1

Abstract

Given a specific collection of curves on an oriented surface with punctures, we associate a power series by counting its intersections with multicurves. This paper presents a reciprocity formula on the power series when multicurves with no component contractible to a puncture are concerned, as a generalization of the reciprocity presented in arXiv:1612.02518.

Keywords

Cite

@article{arxiv.2211.16279,
  title  = {A Reciprocity Formula on Multicurves},
  author = {Juhan Kim},
  journal= {arXiv preprint arXiv:2211.16279},
  year   = {2022}
}

Comments

7 pages, 5 figures

R2 v1 2026-06-28T07:16:50.062Z