Intersections of Multicurves on Small Genus Non–Orientable Surfaces

Authors : Saadet Oyku YURTTAS

Pages : 110-116

Doi:10.33187/jmsm.1005520

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Publication Date : 2021-12-27

Article Type : Research Paper

Abstract :Let $K_{n}$ insert ignore into journalissuearticles values($n>1$); be an $n$--punctured non--orientable surface of genus $2$ with 1 boundary component. We give formulae for calculating the geometric intersection number of an arbitrary multicurve with a relaxed multicurve on $K_{n}$ given their generalized Dynnikov coordinates.
Keywords : geometric intersection, multicurves, generalized Dynnikov coordinates