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Research Directions in Symplectic and Contact Geometry and Topology

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Release : 2022-02-02
Genre : Mathematics
Kind : eBook
Book Rating : 79X/5 ( reviews)

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Book Synopsis Research Directions in Symplectic and Contact Geometry and Topology by : Bahar Acu

Download or read book Research Directions in Symplectic and Contact Geometry and Topology written by Bahar Acu. This book was released on 2022-02-02. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology. This field has experienced significant and exciting growth in the past few decades, and this volume provides an accessible introduction into many active research problems in this area. The papers were written with a broad audience in mind so as to reach a wide range of mathematicians at various levels. Aside from teaching readers about developing research areas, this book will inspire researchers to ask further questions to continue to advance the field. The volume contains both original results and survey articles, presenting the results of collaborative research on a wide range of topics. These projects began at the Research Collaboration Conference for Women in Symplectic and Contact Geometry and Topology (WiSCon) in July 2019 at ICERM, Brown University. Each group of authors included female and nonbinary mathematicians at different career levels in mathematics and with varying areas of expertise. This paved the way for new connections between mathematicians at all career levels, spanning multiple continents, and resulted in the new collaborations and directions that are featured in this work.

Symplectic and Contact Geometry

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Book Rating : 259/5 ( reviews)

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Book Synopsis Symplectic and Contact Geometry by : Anahita Eslami Rad

Download or read book Symplectic and Contact Geometry written by Anahita Eslami Rad. This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:

Contact and Symplectic Geometry

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Release : 1996-09-28
Genre : Mathematics
Kind : eBook
Book Rating : 862/5 ( reviews)

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Book Synopsis Contact and Symplectic Geometry by : Charles Benedict Thomas

Download or read book Contact and Symplectic Geometry written by Charles Benedict Thomas. This book was released on 1996-09-28. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents some of the lectures and research during the special programme held at the Newton Institute in 1994. The two parts each contain a mix of substantial expository articles and research papers that outline important and topical ideas. Many of the results have not been presented before, and the lectures on Floer homology is the first avaliable in book form.Symplectic methods are one of the most active areas of research in mathematics currently, and this volume will attract much attention.

Contact and Symplectic Topology

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Release : 2014-03-10
Genre : Science
Kind : eBook
Book Rating : 366/5 ( reviews)

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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.

Symplectic and Contact Topology: Interactions and Perspectives

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Release : 2003
Genre : Mathematics
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Book Rating : 623/5 ( reviews)

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Book Synopsis Symplectic and Contact Topology: Interactions and Perspectives by : Y. Eliashberg

Download or read book Symplectic and Contact Topology: Interactions and Perspectives written by Y. Eliashberg. This book was released on 2003. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume are written by participants of the ``Symplectic and Contact Topology, Quantum Cohomology, and Symplectic Field Theory'' symposium. The workshop was part of a semester-long joint venture of The Fields Institute in Toronto and the Centre de Recherches Mathematiques in Montreal. The twelve papers cover the following topics: Symplectic Topology, the interaction between symplectic and other geometric structures, and Differential Geometry and Topology. The Proceeding concludes with two papers that have a more algebraic character. One is related to the program of Homological Mirror Symmetry: the author defines a category of extended complex manifolds and studies its properties. The subject of the final paper is Non-commutative Symplectic Geometry, in particular the structure of the symplectomorphism group of a non-commutative complex plane. The in-depth articles make this book a useful reference for graduate students as well as research mathematicians.

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