Quantitative Tamarkin Theory. 1st ed. 2020

種類:

電子ブック

責任表示:

by Jun Zhang

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2020

著者名:

• Zhang, Jun.
• SpringerLink (Online service)

シリーズ名:

CRM Short Courses ;

ISBN:

9783030378882 [3030378888]    

注記:

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

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