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Quantitative Tamarkin theory

Zhang, Jun.

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Quantitative Tamarkin theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantitative Tamarkin theory/ by Jun Zhang.
Author:	Zhang, Jun.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	x, 146 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction -- Preliminary -- Tamarkin category theory -- Applications in symplectic geometry -- Supplements -- References -- Index.
Contained By:	Springer eBooks
Subject:	Symplectic geometry. -
Online resource:	https://doi.org/10.1007/978-3-030-37888-2
ISBN:	9783030378882

Quantitative Tamarkin theory
Zhang, Jun.

Quantitative Tamarkin theory[electronic resource] /by Jun Zhang. - Cham :Springer International Publishing :2020. - x, 146 p. :ill., digital ;24 cm. - CRM short courses,2522-5200. - CRM short courses..

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

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.

ISBN: 9783030378882

Standard No.: 10.1007/978-3-030-37888-2doiSubjects--Topical Terms:

752097
Symplectic geometry.

LC Class. No.: QA665 / .Z436 2020

Dewey Class. No.: 516.36

Quantitative Tamarkin theory
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300 $a x, 146 p. : $b ill., digital ; $c 24 cm.
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505 0 $a Introduction -- Preliminary -- Tamarkin category theory -- Applications in symplectic geometry -- Supplements -- References -- Index.
520 $a 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.
650 0 $a Symplectic geometry. $3 752097
650 1 4 $a Differential Geometry. $3 891003
650 2 4 $a Partial Differential Equations. $3 890899
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
650 2 4 $a Algebraic Topology. $3 891269
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950 $a Mathematics and Statistics (Springer-11649)