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Title: An Introduction to the Mapping Class Group and Symplectic Floer Homology
Authors: Lin, Michael
Advisors: Lin, Francesco
Zhang, Boyu
Department: Mathematics
Class Year: 2019
Abstract: We give an introduction to the mapping class group and the Nielsen-Thurston classification, as well as the construction of symplectic Floer homology. Some analytical details are provided, in hopes of familiarizing the reader with the language of the proofs common in the many varieties of Floer homology. Recent developments in symplectic Floer homology are summarized in the case of surfaces, based on the mapping class of the symplectomorphism. Those who would like a first pass of the technical details of Floer theory and see an application beyond the Arnold conjecture would be suitable readers.
Type of Material: Princeton University Senior Theses
Language: en
Appears in Collections:Mathematics, 1934-2020

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