03779nam 22006495 450 99641819270331620200704172342.03-030-37888-810.1007/978-3-030-37888-2(CKB)5300000000003655(DE-He213)978-3-030-37888-2(MiAaPQ)EBC6132418(PPN)243227752(EXLCZ)99530000000000365520200309d2020 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierQuantitative Tamarkin Theory[electronic resource] /by Jun Zhang1st ed. 2020.Cham :Springer International Publishing :Imprint: Springer,2020.1 online resource (X, 146 p. 63 illus.) CRM Short Courses,2522-52003-030-37887-X Includes bibliographical references and index.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.CRM Short Courses,2522-5200Differential geometryPartial differential equationsDynamicsErgodic theoryAlgebraic topologyDifferential Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21022Partial Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12155Dynamical Systems and Ergodic Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M1204XAlgebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019Differential geometry.Partial differential equations.Dynamics.Ergodic theory.Algebraic topology.Differential Geometry.Partial Differential Equations.Dynamical Systems and Ergodic Theory.Algebraic Topology.516.36Zhang Junauthttp://id.loc.gov/vocabulary/relators/aut900220MiAaPQMiAaPQMiAaPQBOOK996418192703316Quantitative Tamarkin Theory2368795UNISA