Geometric Families Define Differential K-Theory

The index-theoretic construction of differential K-theory by Bunke and Schick uses both a geometric family and a differential form as a cocycle data. We prove that geometric families alone can codify the differential K-theory.

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Journal
Axioms
Published
2025-11-14
DOI
https://doi.org/10.3390/axioms14110837
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Geometric Families Define Differential K-Theory

Jae Min Lee, Byungdo Park
Axioms
Homotopy and Cohomology in Algebraic Topology
article

Geometric Families Define Differential K-Theory

Jae Min Lee, Byungdo Park
article en

Abstract

The index-theoretic construction of differential K-theory by Bunke and Schick uses both a geometric family and a differential form as a cocycle data. We prove that geometric families alone can codify the differential K-theory.

AxiomsVol. 14(11)
The University of Sydney (AU), Chungbuk National University (KR)
Openalex Percentile: Top 59%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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Geometric Families Define Differential K-Theory — Jae Min Lee, Byungdo Park · Axioms (2025) | TGRS Research Map | TGRS