K-theory
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K-theory

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Published by W. A. Benjamin in New York .
Written in English

Subjects:

  • K-theory

Book details:

Edition Notes

Statementlectures by M. F. Atiyah. Notes by D. W. Anderson. fall, 1964.
ContributionsAnderson, D. W.
Classifications
LC ClassificationsQA611 .A8
The Physical Object
Pagination166, [50] p.
Number of Pages166
ID Numbers
Open LibraryOL5551755M
LC Control Number67031266

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Topological K-theory has become an important tool in topology. Using K- theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H-space structures are S1, S3 and S7. Moreover, it is possible to derive a substantial part of stable homotopy theory from hisn-alarum.com by: In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or hisn-alarum.com algebraic topology, it is a cohomology theory known as topological hisn-alarum.com algebra and algebraic geometry, it is referred to as algebraic hisn-alarum.com is also a fundamental tool in the field of operator hisn-alarum.com can be seen as the study of certain kinds of. K-theory book. Read reviews from world’s largest community for readers. These notes are based on the course of lectures I gave at Harvard in the fall of /5(8). Lectures On K theory. This book covers the following topics: Topological K-Theory, Topological Preliminaries on Vector Bundles, Homotopy, Bott Periodicity and Cohomological Properties, Chern Character and Chern Classes, Analytic K-Theory, Applications of Adams operations, Higher Algebraic K-Theory, Algebraic Preliminaries and the the.

And is there material (lecture Video or good pdf script) where the algebraic K-theory is explained? Nothing very accessible for algebraic K-theory. Blackadar's book for K-theory of operator algebras, and Atiyah's book for topological K-theory as it stood in the 's, . K-Theory, An Introduction is a phenomenally attractive book: a fantastic introduction and then some. serve as a fundamental reference and source of instruction for outsiders who would be fellow travelers." (Michael Berg, MAA Online, December, ). The plan is for this to be a fairly short book focusing on topological K-theory and containing also the necessary background material on vector bundles and characteristic classes. Here is a provisional Table of Contents. At present only about half of the book is in good enough shape to be posted online, approximately pages. I use the meme of r/K Theory for the same reason it is taught in biology – it is a quick way to bring people up to speed on the purposes of these traits, and how they affect reproduction/survival under different conditions.” Don’t worry; I’ll read your book soon enough and will probably have tons of material to rebut.

AT-theory was introduced by A. Grothendieck in his formulation of the Riemann- Roch theorem (cf. Borel and Serre [2]). For each projective algebraic variety, Grothendieck constructed a group from the category of coherent algebraic sheaves, and showed that it had many nice properties. Atiyah and Hirzebruch [3] con sidered a topological analog defined for any compact space X, a group K{X 5/5(2). The K-theory classification of D-branes has had numerous applications. For example, Hanany & Kol () used it to argue that there are eight species of orientifold one-plane. Uranga () applied the K-theory classification to derive new consistency conditions for flux compactifications. Lectures On K theory. This book covers the following topics: Topological K-Theory, Topological Preliminaries on Vector Bundles, Homotopy, Bott Periodicity and Cohomological Properties, Chern Character and Chern Classes, Analytic K-Theory, Applications of Adams operations, Higher Algebraic K-Theory, Algebraic Preliminaries and the the Grothendieck Group, The Whitehead and the Steinberg . I recently read a book on K theory of C* algebras by Rordam, Lausten. Now I want to read the subject of Topological K theory. Can someone suggest me a good book on this subject. As I am a mathematics student I would like to read a Math flavoured book, and not a Physics flavoured one as the answer to this question suggests.