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https://hdl.handle.net/2440/36135
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Type: | Book chapter |
Title: | K-theory |
Author: | Varghese, M. |
Citation: | Encyclopedia of mathematical physics, 2006 / Francoise, J., Naber, G., Tsun, T. (ed./s), pp.246-254 |
Publisher: | Academic Press |
Issue Date: | 2006 |
ISBN: | 0125126603 |
Editor: | Francoise, J. Naber, G. Tsun, T. |
Abstract: | K-theory was invented in the category of algebraic vector bundles over algebraic varieties by A Grothendieck, who was directly motivated by the Hirzebruch-Riemann-Roch theorem which he subsequently greatly generalized. He also defined K-homology in terms of coherent sheaves and established the basic properties of K-theory and K-homology including Poincaré duality for nonsingular varieties. The origin for the choice of the letter K in K-theory was apparently the German word "Klasse." |
Description: | 1st ed. |
DOI: | 10.1016/B0-12-512666-2/00322-9 |
Published version: | http://dx.doi.org/10.1016/b0-12-512666-2/00322-9 |
Appears in Collections: | Aurora harvest 6 Pure Mathematics publications |
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