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Quantitative Tamarkin Theory
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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Quantitative Tamarkin Theory ([EBook]) / by Jun Zhang.
Author
Zhang, Jun
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2020.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2020.
Physical Details
X, 146 p. 63 illus. : online resource.
Series
CRM Short Courses
2522-5200
ISBN
9783030378882
Summary Note
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.:
Contents note
Introduction -- Preliminary -- Tamarkin category theory -- Applications in symplectic geometry -- Supplements -- References -- Index.
Mode of acces to digital resource
Digital book. Cham Springer Nature 2020. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format
System details note
- Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-37888-2
Links to Related Works
Subject References:
Algebraic Topology
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Differential Geometry
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Dynamical systems and ergodic theory
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Dynamics
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Ergodic theory
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Partial differential equations
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Authors:
author
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Zhang, Jun
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Corporate Authors:
SpringerLink (Online service)
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Series:
CRM Short Courses
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Classification:
516.36
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