Download or read book A Introduction to the Mapping Class Group and Symplectic Floer Homology written by Michael Jia Ming Lin and published by . This book was released on 2019 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.