Notes on obstructions in the hyperbolic Clifford algebra bundle structure
数学物理
2026-05-19 v1 高能物理 - 理论
math.MP
摘要
Starting from a general analysis of obstruction classes, we develop the investigation of obstructions associated with the bundle structure of the hyperbolic Clifford algebra. By taking into account particularities arising from the Whitney sum, it is shown that, unlike classical tangent bundle cases, the hyperbolic frame bundle admits lifting without any topological obstruction. This leads to the possibility of always defining spinor structures in hyperbolic Clifford bundles.
引用
@article{arxiv.2605.16558,
title = {Notes on obstructions in the hyperbolic Clifford algebra bundle structure},
author = {J. M. Hoff da Silva and E. Notte-Cuello},
journal= {arXiv preprint arXiv:2605.16558},
year = {2026}
}
备注
5 pages