Topics in noncommutative geometry Yuri I. Manin. M.B. Porter lectures.

Manin, Ûrij Ivanovi?:

ISBN 10: 0691085889 / ISBN 13: 9780691085883

Published by Princeton, Princeton University Press [1991]., 1991

About this Item

Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 14 MAN 9780691085883 Sprache: Englisch Gewicht in Gramm: 550.

Seller Inventory # 2499354

Bibliographic Details

• Title: Topics in noncommutative geometry Yuri I. Manin. M.B. Porter lectures.
• Publisher: Princeton, Princeton University Press [1991].
• Publication Date: 1991
• Language: English
• ISBN 10: 0691085889
• ISBN 13: 9780691085883
• Binding: Hardcover
• Weight: 550 grams
• Seller catalogs:
  • SA MATHEMATIK

About this title

Synopsis

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.

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Review

"[This reviewer] like[s] the book a lot. First, because of the excellent mathematics it contains. But second, because of the truly enlightening way this mathematics gets conveyed to the reader."--Bulletin of the American Mathematical Society