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Please use this identifier to cite or link to this item: http://arks.princeton.edu/ark:/88435/dsp01v979v591q
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dc.contributor.advisorLin, Francesco-
dc.contributor.advisorZhang, Boyu-
dc.contributor.authorLin, Michael-
dc.date.accessioned2019-07-25T18:53:52Z-
dc.date.available2019-07-25T18:53:52Z-
dc.date.created2019-05-06-
dc.date.issued2019-07-25-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/dsp01v979v591q-
dc.description.abstractWe 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.en_US
dc.format.mimetypeapplication/pdf-
dc.language.isoenen_US
dc.titleAn Introduction to the Mapping Class Group and Symplectic Floer Homologyen_US
dc.typePrinceton University Senior Theses-
pu.date.classyear2019en_US
pu.departmentMathematicsen_US
pu.pdf.coverpageSeniorThesisCoverPage-
pu.contributor.authorid961182395-
Appears in Collections:Mathematics, 1934-2020

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