Minimally intersecting filling pairs on the punctured surface of genus two

Research output: Contribution to journalArticle (Academic Journal)peer-review

Abstract

In this short note, we construct a minimally intersecting pair of simple closed curves that fill a genus 2 surface with an odd, at least 3, number of punctures. This finishes the determination of minimally intersecting filling pairs for all surfaces completing the work of Aougab–Huang and Aougab–Taylor.
Original languageEnglish
Pages (from-to)101-106
Number of pages6
JournalTopology and its Applications
Volume254
DOIs
Publication statusPublished - 1 Mar 2019

Keywords

  • Filling pairs
  • Geometric intersection number

Cite this