K-theory
Date
2006
Authors
Varghese, M.
Editors
Francoise, J.
Naber, G.
Tsun, T.
Naber, G.
Tsun, T.
Advisors
Journal Title
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Book chapter
Citation
Encyclopedia of mathematical physics, 2006 / Francoise, J., Naber, G., Tsun, T. (ed./s), pp.246-254
Statement of Responsibility
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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."
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Provenance
Description
1st ed.