著者

谷口 正

出版者

群馬工業高等専門学校

雑誌

群馬高専レビュー (ISSN:02886936)

巻号頁・発行日

no.31, pp.67-69, 2012

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The purpose of this paper is to give a K-theory on the supermanifolds. K-theory was introduced by Alexander Grothendieck in the 50's in order to solve some difficult problems in Algebraic Geometry. This idea of K-theory has applied other parts of Mathematics, for example Number Theory, Topology, Noncommutative Geometry and Super String Theory. Among many successes of K-theory, one should mention the solution of supergeometric problems, its wide generalization to the new subject called Super Riemann-Roch Formula.