Euler and Pontryagin currents of the Dirac operator

Abstract On differential manifolds with spinor structure, it is possible to express the Euler and Pontryagin currents in terms of tensors that also appear as source in the Dirac equation. It is hence possible to tie concepts rooted in geometry and topology to dynamical characters of quantum matter.

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Publication Details

Journal
Journal of Physics A Mathematical and Theoretical
Published
2024-12-12
DOI
https://doi.org/10.1088/1751-8121/ad9e57
Citations
1
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
0.97
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article

Euler and Pontryagin currents of the Dirac operator

Luca Fabbri
1 citations
Journal of Physics A Mathematical and Theoretical
Algebraic and Geometric Analysis
0.97
article

Euler and Pontryagin currents of the Dirac operator

Luca Fabbri
article en
1 citations

Abstract

Abstract On differential manifolds with spinor structure, it is possible to express the Euler and Pontryagin currents in terms of tensors that also appear as source in the Dirac equation. It is hence possible to tie concepts rooted in geometry and topology to dynamical characters of quantum matter.

Journal of Physics A Mathematical and TheoreticalVol. 58(2)
Istituto Nazionale di Alta Matematica Francesco Severi (IT), Istituto Nazionale di Fisica Nucleare, Sezione di Genova (IT), University of Genoa (IT)
Openalex Percentile: Top 22%
Algebraic and Geometric Analysis
0.97
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