An approach toward a finite-dimensional definition of twisted K-theory
Kiyonori Gomi
TL;DR
This paper presents an expository account demonstrating how to construct a group using twisted Z_2-graded vectorial bundles that is isomorphic to twisted K-theory for any degree three integral cohomology class.
Contribution
It introduces a finite-dimensional approach to defining twisted K-theory using twisted vectorial bundles, providing a new perspective on the subject.
Findings
Constructed a group via twisted Z_2-graded vectorial bundles
Proved isomorphism with twisted K-theory for degree three classes
Offers a finite-dimensional framework for twisted K-theory
Abstract
This is an expository account of the following result: we can construct a group by means of twisted Z_2-graded vectorial bundles which is isomorphic to K-theory twisted by any degree three integral cohomology class.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory