Twisted K-theory and finite-dimensional approximation
Kiyonori Gomi
TL;DR
This paper introduces a finite-dimensional model for twisted K-theory, utilizing Furuta's generalized vector bundles and finite-dimensional approximations of Fredholm operators to simplify complex topological structures.
Contribution
It presents a novel finite-dimensional framework for twisted K-theory that broadens the understanding and computational approaches in the field.
Findings
Finite-dimensional model for twisted K-theory developed
Utilizes Furuta's generalized vector bundles
Employs finite-dimensional approximation of Fredholm operators
Abstract
We provide a finite-dimensional model of the twisted K-group twisted by any degree three integral cohomology class of a CW complex. One key to the model is Furuta's generalized vector bundle, and the other is a finite-dimensional approximation of Fredholm operators.
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