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Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp014j03d2400
 Title: Fukaya Categories and Intersection Numbers Authors: Zhang, Christopher Advisors: Bottman, NathanielHorton, Henry Department: Mathematics Class Year: 2018 Abstract: We give an introductory survey of Floer homology and Fukaya categories assuming only basic symplectic geometry. The survey is meant to be targeted at a lower level than Auroux’s survey [3]. We say very little about the analytical details involved in Fukaya categories and move quickly to discuss the algebraic side. We show an application of these algebraic techniques by proving a theorem by Keating about symplectic Dehn twists [14]. This theorem is a generalization of the theorem that if two curves α, β have minimal geometric intersection number ≥ 2, then the Dehn twists τα, τβ generate a free subgroup of the mapping class group. URI: http://arks.princeton.edu/ark:/88435/dsp014j03d2400 Type of Material: Princeton University Senior Theses Language: en Appears in Collections: Mathematics, 1934-2020

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