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CRM Short Courses Virtual Series on Symplectic Geometry

Quantitative Tamarkin Theory

Authors: Zhang, Jun

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  • 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
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  • ISBN 978-3-030-37888-2
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Hardcover $69.99
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About this Textbook

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

About the authors

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.

Table of contents (4 chapters)

Table of contents (4 chapters)

Buy this book

eBook $54.99
price for Mexico
  • ISBN 978-3-030-37888-2
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $69.99
price for Mexico
  • ISBN 978-3-030-37887-5
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Quantitative Tamarkin Theory
Authors
Series Title
CRM Short Courses
Copyright
2020
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-37888-2
DOI
10.1007/978-3-030-37888-2
Hardcover ISBN
978-3-030-37887-5
Series ISSN
2522-5200
Edition Number
1
Number of Pages
X, 146
Number of Illustrations
63 b/w illustrations
Topics

*immediately available upon purchase as print book shipments may be delayed due to the COVID-19 crisis. ebook access is temporary and does not include ownership of the ebook. Only valid for books with an ebook version. Springer Reference Works are not included.