Minimally intersecting filling pairs on the punctured surface of genus two

Luke Jeffreys

doi:10.1016/j.topol.2018.12.011

Minimally intersecting filling pairs on the punctured surface of genus two

Luke Jeffreys

School of Mathematics

Research output: Contribution to journal › Article (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 language	English
Pages (from-to)	101-106
Number of pages	6
Journal	Topology and its Applications
Volume	254
DOIs	https://doi.org/10.1016/j.topol.2018.12.011
Publication status	Published - 1 Mar 2019

Keywords

Filling pairs
Geometric intersection number

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10.1016/j.topol.2018.12.011

https://www.sciencedirect.com/science/article/pii/S0166864118307697

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title = "Minimally intersecting filling pairs on the punctured surface of genus two",

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.",

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AU - Jeffreys, Luke

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N2 - 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.

AB - 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.

KW - Filling pairs

KW - Geometric intersection number

U2 - 10.1016/j.topol.2018.12.011

DO - 10.1016/j.topol.2018.12.011

M3 - Article (Academic Journal)

VL - 254

SP - 101

EP - 106

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

ER -

Minimally intersecting filling pairs on the punctured surface of genus two

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Keywords

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