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Overview"This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory. Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored in this book makes microlocal sheaf theory accessible to a wide audience of readers interested in symplectic geometry. Much of this material has, until now, been scattered throughout the existing literature; this text finally collects that information into one convenient volume. After providing an overview of symplectic geometry, ranging from its background to modern developments, the author reviews the preliminaries with precision. This refresher ensures readers are prepared for the thorough exploration of the Tamarkin category that follows. A variety of applications appear throughout, such as sheaf quantization, sheaf interleaving distance, and sheaf barcodes from projectors. An appendix offers additional perspectives by highlighting further useful topics. Quantitative Tamarkin Theory is ideal for graduate students interested in symplectic geometry who seek an accessible alternative to the algebraic analysis method. A background in algebra and differential geometry is recommended. This book is part of the ""Virtual Series on Symplectic Geometry"" http://www.springer.com/series/16019" Full Product DetailsAuthor: Jun ZhangPublisher: Springer Nature Switzerland AG Imprint: Springer Nature Switzerland AG Edition: 1st ed. 2020 Weight: 0.454kg ISBN: 9783030378905ISBN 10: 303037890 Pages: 146 Publication Date: 10 March 2021 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Preliminary.- Tamarkin category theory.- Applications in symplectic geometry.- Supplements.- References.- Index.ReviewsThe style of the presentation reflects the origins of the book, in a series of lectures delivered by the author. ... several simple but significant examples are worked out. This provides a good overall vision of the subject. (Andrea D'Agnolo, Mathematical Reviews, January, 2022) “The style of the presentation reflects the origins of the book, in a series of lectures delivered by the author. … several simple but significant examples are worked out. This provides a good overall vision of the subject.” (Andrea D’Agnolo, Mathematical Reviews, January, 2022) Author InformationJun Zhang is a CRM-ISM Postdoctoral Research Fellow in Mathematics at the Centre de Recherches Mathématiques (CRM) - Université de Montréal. He received his PhD at the University of Georgia in 2016, after which he was a postdoctoral researcher at Tel Aviv University. His research interests include symplectic geometry, contact geometry, persistent homology, and microlocal sheaf theory. Tab Content 6Author Website:Countries AvailableAll regions |
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