Minimally intersecting filling pairs on the punctured surface of genus two

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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
Publication statusPublished - 1 Mar 2019


  • Filling pairs
  • Geometric intersection number

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