Minimally intersecting filling pairs on the punctured surface of genus two
arXiv:1807.07534 · doi:10.1016/j.topol.2018.12.011
Abstract
In this short note, we construct a minimally intersecting pair of simple closed curves that fill a genus 2 surface with an odd, greater than 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.
5 pages, 4 figures