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Author : András Juhász
Release : 2021-12-09
Genre : Mathematics
Kind : eBook
Book Rating : 722/5 ( reviews)
Book Synopsis Naturality and Mapping Class Groups in Heegard Floer Homology by : András Juhász
Download or read book Naturality and Mapping Class Groups in Heegard Floer Homology written by András Juhász. This book was released on 2021-12-09. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Michael Jia Ming Lin
Release : 2019
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis A Introduction to the Mapping Class Group and Symplectic Floer Homology by : Michael Jia Ming Lin
Download or read book A Introduction to the Mapping Class Group and Symplectic Floer Homology written by Michael Jia Ming Lin. This book was released on 2019. 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.
Author : Robert Lipshitz
Release : 2018-08-09
Genre : Mathematics
Kind : eBook
Book Rating : 881/5 ( reviews)
Book Synopsis Bordered Heegaard Floer Homology by : Robert Lipshitz
Download or read book Bordered Heegaard Floer Homology written by Robert Lipshitz. This book was released on 2018-08-09. Available in PDF, EPUB and Kindle. Book excerpt: The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Author : Frédéric Bourgeois
Release : 2014-03-10
Genre : Science
Kind : eBook
Book Rating : 366/5 ( reviews)
Book Synopsis Contact and Symplectic Topology by : Frédéric Bourgeois
Download or read book Contact and Symplectic Topology written by Frédéric Bourgeois. This book was released on 2014-03-10. Available in PDF, EPUB and Kindle. Book excerpt: Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.
Author : Ryan David Budney
Release : 2002
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Representation of Mapping Class Groups Via Topological Constructions by : Ryan David Budney
Download or read book Representation of Mapping Class Groups Via Topological Constructions written by Ryan David Budney. This book was released on 2002. Available in PDF, EPUB and Kindle. Book excerpt:
