Generative Geometry, Groupoids, and K-Theoretic Traces in the Altland–Zirnbauer Tenfold Classification

We present a generative reconstruction of the Altland–Zirnbauer classification using pivot-generated geometry, symmetry groupoids, operator-algebraic projections, and K-theoretic trace invariants, revealing the tenfold scheme as a unified structural output.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-04
DOI
https://doi.org/10.5281/zenodo.22288889
Primary Topic
Homotopy and Cohomology in Algebraic Topology
Type
article
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article

Generative Geometry, Groupoids, and K-Theoretic Traces in the Altland–Zirnbauer Tenfold Classification

Shin Tamaki
Zenodo (CERN European Organization for Nuclear Research)
Homotopy and Cohomology in Algebraic Topology
article

Generative Geometry, Groupoids, and K-Theoretic Traces in the Altland–Zirnbauer Tenfold Classification

Shin Tamaki
article en

Abstract

We present a generative reconstruction of the Altland–Zirnbauer classification using pivot-generated geometry, symmetry groupoids, operator-algebraic projections, and K-theoretic trace invariants, revealing the tenfold scheme as a unified structural output.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 5%
Homotopy and Cohomology in Algebraic Topology
DOIOpen Access PDFOpenAlex
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