A model of the twisted $K$-theory related to bundles of finite order

TL;DR

This paper introduces a geometric model for twisted K-theory associated with finite order elements in cohomology and homotopy groups, enhancing understanding of twisted K-theory structures.

Contribution

It provides a novel geometric framework for twisted K-theory linked to finite order cohomology and homotopy classes, expanding theoretical tools in the field.

Findings

Develops a geometric model for finite order twisted K-theory

Connects twisted K-theory with elements in cohomology and homotopy groups

Enhances the theoretical understanding of twisted K-theory structures

Abstract

In the present paper we propose a geometric model of the twisted K-theory corresponding to elements of finite order in $H^3(X, \mathbb{Z})\times [X, \BBSU_\otimes]$.