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arXiv:1811.03613 [math.DG]AbstractReferencesReviewsResources

The transition function of $G_2$ over $S^6$

Ádám Gyenge

Published 2018-11-08Version 1

We obtain explicit formulas for the trivialization functions of the $SU(3)$ principal bundle $G_2 \to S_6$ over two affine charts. We also calculate the explicit transition function of this fibration over the equator of the six sphere. In this way we obtain a new proof of the known fact that this fibration corresponds to a generator of $\pi_{5}(SU(3))$.

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