Euler and Pontryagin currents of the Dirac operator
Mathematical Physics
2025-01-15 v3 math.MP
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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Cite
@article{arxiv.2402.10256,
title = {Euler and Pontryagin currents of the Dirac operator},
author = {Luca Fabbri},
journal= {arXiv preprint arXiv:2402.10256},
year = {2025}
}
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6 pages