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Connectedness of The Cut-System Complex on Surfaces

BROWSE_DETAIL_CREATION_DATE: 03-07-2017

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BROWSE_DETAIL_TYPE: Thesis

BROWSE_DETAIL_SUB_TYPE: Masters

BROWSE_DETAIL_PUBLISH_STATE: Unpublished

BROWSE_DETAIL_FORMAT: PDF Document

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: Mathematics, Geometry. Trigonometry. Topology,

BROWSE_DETAIL_CREATORS: Ali, Fatema Dhawali (Author),

BROWSE_DETAIL_CONTRIBUTERS: Atalan, Ferihe (Research Responsible),

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curves, cut-system complexes, surfaces


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Let M be a compact, connected, orientable or nonorientable surface of genus g ≥ 1with n boundary components. In this thesis, we study connectedness of cut-systemcomplex of M. More precisely, in Chapter 3, we study the work of Wajnryb on theconnectedness of the cut-system complex of an orientable surface. In the last chapter,we prove that the cut-system complex of a nonorientable surface is connected.


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