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Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory
An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.
Holomorphic Curves in Low Dimensions
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three. The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes some background on these topics, in addition to a survey of the required analytical results on holomorphic curves. Emphasizing applications rather than technical results, the analytical survey mostly refers to other sources for proofs, while aiming t...
Research Directions in Symplectic and Contact Geometry and Topology
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 ...
New Perspectives and Challenges in Symplectic Field Theory
This volume, in honor of Yakov Eliashberg, gives a panorama of some of the most fascinating recent developments in symplectic, contact and gauge theories. It contains research papers aimed at experts, as well as a series of skillfully written surveys accessible for a broad geometrically oriented readership from the graduate level onwards. This collection will serve as an enduring source of information and ideas for those who want to enter this exciting area as well as for experts.
Lectures on Lagrangian Torus Fibrations
Comprehensive and visual introduction to the geometry of 4-dimensional symplectic manifolds via 2-dimensional almost-toric diagrams.
Contact and Symplectic Topology
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.
J-holomorphic Curves and Symplectic Topology
The main goal of this book is to establish the fundamental theorems of the subject in full and rigourous detail. In particular, the book contains complete proofs of Gromov's compactness theorem for spheres, of the gluing theorem for spheres, and of the associatively of quantum multiplication in the semipositive case. The book can also serve as an introduction to current work in symplectic topology.
Broadcast Announcing Worktext
The Broadcast Announcing Worktext provides you with the skills, techniques, and procedures necessary to enter this highly competitive field of broadcast performance. In addition to the principles of good performance, this book addresses the importance of audience and how to communicate effectively to various groups. Television and radio studio environments, announcer specializations and responsibilities, and developing a broadcast delivery style are just a few of the many topics covered. Factual information is presented in brief, easy-to-digest modules and is enhanced with self-study questions and projects. The self-study provides an immediate check on what you learn, and the projects allow for a practical hands-on application of key concepts in the material. The worktext format, with many real-life examples, combines both traditional teaching and practical experience. A companion CD illustrates techniques and concepts in each chapter with audio and visual examples. This third edition will give you knowledge of other non-traditional forms of announcing, such as online radio announcing, podcast announcing, and other forms of online announcing, such as online shows, clips, and news.
Broadcast Announcing Worktext
Accompanying CD-ROM illustrates techniques and concepts in each chapter with audio and visual samples of actual broadcasts.
