Fourteen Papers on Algebra, Topology, Algebraic and Differential Geometry PDF Download

Author: V. P. Kompaniec
Publisher: American Mathematical Soc.
ISBN: 9780821817735
Category : Algebra
Languages : en
Pages : 268

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Author: American Mathematical Society
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 260

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Author: Raoul Bott
Publisher: Springer Science & Business Media
ISBN: 1475739516
Category : Mathematics
Languages : en
Pages : 319

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Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.

Author: Torsten Wedhorn
Publisher: Springer
ISBN: 3658106336
Category : Mathematics
Languages : en
Pages : 366

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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.

Author: Jean H Gallier
Publisher: World Scientific
ISBN: 9811245045
Category : Mathematics
Languages : en
Pages : 799

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For more than thirty years the senior author has been trying to learn algebraic geometry. In the process he discovered that many of the classic textbooks in algebraic geometry require substantial knowledge of cohomology, homological algebra, and sheaf theory. In an attempt to demystify these abstract concepts and facilitate understanding for a new generation of mathematicians, he along with co-author wrote this book for an audience who is familiar with basic concepts of linear and abstract algebra, but who never has had any exposure to the algebraic geometry or homological algebra. As such this book consists of two parts. The first part gives a crash-course on the homological and cohomological aspects of algebraic topology, with a bias in favor of cohomology. The second part is devoted to presheaves, sheaves, Cech cohomology, derived functors, sheaf cohomology, and spectral sequences. All important concepts are intuitively motivated and the associated proofs of the quintessential theorems are presented in detail rarely found in the standard texts.

Author: Jean Dieudonné
Publisher: Springer Science & Business Media
ISBN: 0817649077
Category : Mathematics
Languages : en
Pages : 666

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This book is a well-informed and detailed analysis of the problems and development of algebraic topology, from Poincaré and Brouwer to Serre, Adams, and Thom. The author has examined each significant paper along this route and describes the steps and strategy of its proofs and its relation to other work. Previously, the history of the many technical developments of 20th-century mathematics had seemed to present insuperable obstacles to scholarship. This book demonstrates in the case of topology how these obstacles can be overcome, with enlightening results.... Within its chosen boundaries the coverage of this book is superb. Read it! —MathSciNet

Author: G. S. T︠S︡eĭtin
Publisher: American Mathematical Soc.
ISBN: 9780821895382
Category : Mathematical analysis
Languages : en
Pages : 354

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Translations of articles on mathematics appearing in various Russian mathematical serials.

Author: Wolfgang Ebeling
Publisher: Springer Science & Business Media
ISBN: 3642203000
Category : Mathematics
Languages : en
Pages : 424

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This volume contains the Proceedings of the conference "Complex and Differential Geometry 2009", held at Leibniz Universität Hannover, September 14 - 18, 2009. It was the aim of this conference to bring specialists from differential geometry and (complex) algebraic geometry together and to discuss new developments in and the interaction between these fields. Correspondingly, the articles in this book cover a wide area of topics, ranging from topics in (classical) algebraic geometry through complex geometry, including (holomorphic) symplectic and poisson geometry, to differential geometry (with an emphasis on curvature flows) and topology.

Author: Ivan Kolar
Publisher: Springer Science & Business Media
ISBN: 3662029502
Category : Mathematics
Languages : en
Pages : 440

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The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.

Author: Ju. I. Manin
Publisher: American Mathematical Soc.
ISBN: 9780821817636
Category : Algebra
Languages : en
Pages : 296

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