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arXiv · 2604.17447

Quandles from gauge transformations

Ryo Hayami
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Abstract

In this paper, we investigate a quandle structure induced by an augmented rack arising from a gauge transformation group. We construct a quandle from a principal bundle and its discrete generalization. When we see a group as a (discrete) principal bundle over a point, this quandle becomes equivalent to the generalized Alexander quandle for its inner automorphism. Moreover, we construct a Lie and Noether quandle structure from a smooth gauge transformation.

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Ryo Hayami. 2026-04-19. Quandles from gauge transformations. https://arxiv.org/abs/2604.17447

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