Jun Zhang: Quantitative Tamarkin Theory

Cover: 9783030378875 | Quantitative Tamarkin Theory | Jun Zhang | Buch | x | Englisch | 2020

Rückseite: 9783030378875 | Quantitative Tamarkin Theory | Jun Zhang | Buch | x | Englisch | 2020

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Sprache: Englisch

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Beschreibung

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"
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Über den Autor

Jun 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.

Zusammenfassung

Collects current research on quantitative Tamarkin theory into one convenient, self-contained textbook

Provides readers with an accessible categorical approach to microlocal sheaf theory that contrasts with established algebraic analysis methods

Reviews key background material in the opening chapters, making it accessible to a wide audience of interested readers

Inhaltsverzeichnis

Introduction.- Preliminary.- Tamarkin category theory.- Applications in symplectic geometry.- Supplements.- References.- Index.

Details

Erscheinungsjahr:	2020
Fachbereich:	Geometrie
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Inhalt:	x 146 S. 63 s/w Illustr. 146 p. 63 illus.
ISBN-13:	9783030378875
ISBN-10:	303037887X
Sprache:	Englisch
Einband:	Gebunden
Autor:	Zhang, Jun
Auflage:	1st edition 2020
Hersteller:	Springer International Publishing Springer International Publishing AG
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	241 x 160 x 15 mm
Von/Mit:	Jun Zhang
Erscheinungsdatum:	10.03.2020
Gewicht:	0,407 kg