Homology of Linear Groups

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Publisher : Birkhäuser
ISBN 13 : 3034883382
Total Pages : 197 pages
Book Rating : 4.82/5 ( download)

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Book Synopsis Homology of Linear Groups by : Kevin P. Knudson

Download or read book Homology of Linear Groups written by Kevin P. Knudson and published by Birkhäuser. This book was released on 2012-12-06 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices. This text traces the development of this theory from Quillen's fundamental calculation. It presents the stability theorems and low-dimensional results of A. Suslin, W. van der Kallen and others are presented. Coverage also examines the Friedlander-Milnor-conjecture concerning the homology of algebraic groups made discrete.

Cohomology of Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 1468493272
Total Pages : 318 pages
Book Rating : 4.76/5 ( download)

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Book Synopsis Cohomology of Groups by : Kenneth S. Brown

Download or read book Cohomology of Groups written by Kenneth S. Brown and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at second year graduate students, this text introduces them to cohomology theory (involving a rich interplay between algebra and topology) with a minimum of prerequisites. No homological algebra is assumed beyond what is normally learned in a first course in algebraic topology, and the basics of the subject, as well as exercises, are given prior to discussion of more specialized topics.

Floer Homology Groups in Yang-Mills Theory

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Publisher : Cambridge University Press
ISBN 13 : 9781139432603
Total Pages : 254 pages
Book Rating : 4.05/5 ( download)

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Book Synopsis Floer Homology Groups in Yang-Mills Theory by : S. K. Donaldson

Download or read book Floer Homology Groups in Yang-Mills Theory written by S. K. Donaldson and published by Cambridge University Press. This book was released on 2002-01-10 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.

Quadratic Forms, Linear Algebraic Groups, and Cohomology

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Publisher : Springer Science & Business Media
ISBN 13 : 1441962115
Total Pages : 344 pages
Book Rating : 4.19/5 ( download)

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Book Synopsis Quadratic Forms, Linear Algebraic Groups, and Cohomology by : Skip Garibaldi

Download or read book Quadratic Forms, Linear Algebraic Groups, and Cohomology written by Skip Garibaldi and published by Springer Science & Business Media. This book was released on 2010-07-16 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in Mathematics is a book series devoted to all areas of mathematics, pure and applied. The series emphasizes research monographs describing the latest advances. Edited volumes that focus on areas that have seen dramatic progress, or are of special interest, are encouraged as well.

Homology Theory

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Publisher : CUP Archive
ISBN 13 : 9780521094221
Total Pages : 504 pages
Book Rating : 4.24/5 ( download)

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Book Synopsis Homology Theory by : P. J. Hilton

Download or read book Homology Theory written by P. J. Hilton and published by CUP Archive. This book was released on 1967 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: This account of algebraic topology is complete in itself, assuming no previous knowledge of the subject. It is used as a textbook for students in the final year of an undergraduate course or on graduate courses and as a handbook for mathematicians in other branches who want some knowledge of the subject.

Algebraic Topology

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Publisher : Courier Corporation
ISBN 13 : 0486462390
Total Pages : 290 pages
Book Rating : 4.94/5 ( download)

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Book Synopsis Algebraic Topology by : Andrew H. Wallace

Download or read book Algebraic Topology written by Andrew H. Wallace and published by Courier Corporation. This book was released on 2007-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Surveys several algebraic invariants, including the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.

The $K$-book

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Publisher : American Mathematical Soc.
ISBN 13 : 0821891324
Total Pages : 634 pages
Book Rating : 4.22/5 ( download)

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Book Synopsis The $K$-book by : Charles A. Weibel

Download or read book The $K$-book written by Charles A. Weibel and published by American Mathematical Soc.. This book was released on 2013-06-13 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr

Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry

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Publisher : World Scientific
ISBN 13 : 9811245045
Total Pages : 799 pages
Book Rating : 4.46/5 ( download)

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Book Synopsis Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry by : Jean H Gallier

Download or read book Homology, Cohomology, And Sheaf Cohomology For Algebraic Topology, Algebraic Geometry, And Differential Geometry written by Jean H Gallier and published by World Scientific. This book was released on 2022-01-19 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cohomology of Finite Groups

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Publisher : Springer Science & Business Media
ISBN 13 : 3662062828
Total Pages : 333 pages
Book Rating : 4.21/5 ( download)

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Book Synopsis Cohomology of Finite Groups by : Alejandro Adem

Download or read book Cohomology of Finite Groups written by Alejandro Adem and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The cohomology of groups has, since its beginnings in the 1920s and 1930s, been the stage for significant interaction between algebra and topology and has led to the creation of important new fields in mathematics, like homological algebra and algebraic K-theory. This is the first book to deal comprehensively with the cohomology of finite groups: it introduces the most important and useful algebraic and topological techniques, and describes the interplay of the subject with those of homotopy theory, representation theory and group actions. The combination of theory and examples, together with the techniques for computing the cohomology of important classes of groups including symmetric groups, alternating groups, finite groups of Lie type, and some of the sporadic simple groups, enable readers to acquire an in-depth understanding of group cohomology and its extensive applications.

The Structure of Linear Groups

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Author :
Publisher : London ; Toronto : Van Nostrand Reinhold Company
ISBN 13 :
Total Pages : 196 pages
Book Rating : 4.64/5 ( download)

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Book Synopsis The Structure of Linear Groups by : John D. Dixon

Download or read book The Structure of Linear Groups written by John D. Dixon and published by London ; Toronto : Van Nostrand Reinhold Company. This book was released on 1971 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: