There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on ...
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There is a well-known correspondence between the objects of algebra and geometry: a space gives rise to a function algebra; a vector bundle over the space corresponds to a projective module over this algebra; cohomology can be read off the de Rham complex; and so on. In this book Yuri Manin addresses a variety of instances in which the application of commutative algebra cannot be used to describe geometric objects, emphasizing the recent upsurge of activity in studying noncommutative rings as if they were function rings on "noncommutative spaces." Manin begins by summarizing and giving examples of some of the ideas that led to the new concepts of noncommutative geometry, such as Connes' noncommutative de Rham complex, supergeometry, and quantum groups. He then discusses supersymmetric algebraic curves that arose in connection with superstring theory; examines superhomogeneous spaces, their Schubert cells, and superanalogues of Weyl groups; and provides an introduction to quantum groups. This book is intended for mathematicians and physicists with some background in Lie groups and complex geometry. Originally published in 1991. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
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Add this copy of Topics in Noncommutative Geometry (Princeton Legacy to cart. $61.34, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 1991 by Princeton University Press.
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This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 500grams, ISBN: 0691085889.
Add this copy of Topics in Non-Commutative Geometry (Princeton Legacy to cart. $63.85, very good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 1991 by Princeton University Press.
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Very Good in Very Good jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book N.B. Small plain label to ffep. Edges of D/J a little rubbed with a very small closed tear to top edge. Slight rubbing to front D/J.
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Add this copy of Topics in Non-Commutative Geometry (Porter Lectures, 9) to cart. $41.01, like new condition, Sold by Dotcom liquidators / dc1 rated 4.0 out of 5 stars, ships from Fort Worth, TX, UNITED STATES, published 2016 by Princeton University Press.
Add this copy of Topics in Non-Commutative Geometry (Porter Lectures) to cart. $57.98, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2014 by Princeton University Press.
Add this copy of Topics in Non-Commutative Geometry (Porter Lectures, 9) to cart. $97.24, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2016 by Princeton University Press.
Add this copy of Topics in Noncommutative Geometry to cart. $105.38, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 1991 by Princeton University Press.