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101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
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200 10$aQuantitative Tamarkin Theory$b[electronic resource] /$fby Jun Zhang
205   $a1st ed. 2020.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020.
215   $a1 online resource (X, 146 p. 63 illus.) 
225 1 $aCRM Short Courses,$x2522-5200
311   $a3-030-37887-X 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- Preliminary -- Tamarkin category theory -- Applications in symplectic geometry -- Supplements -- References -- Index.
330   $aThis textbook offers readers a self-contained introduction to quantitative Tamarkin category theory. Functioning as a viable alternative to the standard algebraic analysis method, the categorical approach explored in this book makes microlocal sheaf theory accessible to a wide audience of readers interested in symplectic geometry. Much of this material has, until now, been scattered throughout the existing literature; this text finally collects that information into one convenient volume. After providing an overview of symplectic geometry, ranging from its background to modern developments, the author reviews the preliminaries with precision. This refresher ensures readers are prepared for the thorough exploration of the Tamarkin category that follows. A variety of applications appear throughout, such as sheaf quantization, sheaf interleaving distance, and sheaf barcodes from projectors. An appendix offers additional perspectives by highlighting further useful topics. Quantitative Tamarkin Theory is ideal for graduate students interested in symplectic geometry who seek an accessible alternative to the algebraic analysis method. A background in algebra and differential geometry is recommended. This book is part of the "Virtual Series on Symplectic Geometry" http://www.springer.com/series/16019.
410  0$aCRM Short Courses,$x2522-5200
606   $aDifferential geometry
606   $aPartial differential equations
606   $aDynamics
606   $aErgodic theory
606   $aAlgebraic topology
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
606   $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019
615  0$aDifferential geometry.
615  0$aPartial differential equations.
615  0$aDynamics.
615  0$aErgodic theory.
615  0$aAlgebraic topology.
615 14$aDifferential Geometry.
615 24$aPartial Differential Equations.
615 24$aDynamical Systems and Ergodic Theory.
615 24$aAlgebraic Topology.
676   $a516.36
700   $aZhang$b Jun$4aut$4http://id.loc.gov/vocabulary/relators/aut$0900220
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a996418192703316
996   $aQuantitative Tamarkin Theory$92368795
997   $aUNISA