Sheaves on Manifolds - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sheaves on Manifolds write by Masaki Kashiwara. This book was released on 2013-03-14. Sheaves on Manifolds available in PDF, EPUB and Kindle. Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." –Bulletin of the L.M.S.
Manifolds, Sheaves, and Cohomology
Manifolds, Sheaves, and Cohomology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Manifolds, Sheaves, and Cohomology write by Torsten Wedhorn. This book was released on 2016-07-25. Manifolds, Sheaves, and Cohomology available in PDF, EPUB and Kindle. This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.
Categories and Sheaves
Categories and Sheaves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Categories and Sheaves write by Masaki Kashiwara. This book was released on 2005-12-19. Categories and Sheaves available in PDF, EPUB and Kindle. Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
Geometry of Vector Sheaves
Geometry of Vector Sheaves - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometry of Vector Sheaves write by Anastasios Mallios. This book was released on 2012-12-06. Geometry of Vector Sheaves available in PDF, EPUB and Kindle. This two-volume monograph obtains fundamental notions and results of the standard differential geometry of smooth (CINFINITY) manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasised. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (`differential spaces'), to non-linear PDEs (generalised functions). Thus, more general applications, which are no longer `smooth' in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the ever-increasing notion that the `world around us is far from being smooth enough'. Audience: This work is intended for postgraduate students and researchers whose work involves differential geometry, global analysis, analysis on manifolds, algebraic topology, sheaf theory, cohomology, functional analysis or abstract harmonic analysis.
Global Calculus
Global Calculus - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Global Calculus write by S. Ramanan. This book was released on 2005. Global Calculus available in PDF, EPUB and Kindle. The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis.
