The Gunma-Kosen Review
Online ISSN : 2433-9776
Print ISSN : 0288-6936
ISSN-L : 0288-6936
K-Theory on Supersymmetric Riemann Surfaces and Super Riemann-Roch Theorem
Tadashi Taniguchi
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Keywords: K-Theory
RESEARCH REPORT / TECHNICAL REPORT OPEN ACCESS

2012 Volume 31 Pages 67-69

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Abstract
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.
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