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arXiv · 2102.01477

Classification of fiber sequences with a prescribed holonomy action

Mario Fuentes
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Abstract

We define $\mathcal{H}$-fibration sequences as fibrations where the holonomy action of the fundamental group of the base on the fiber lies in a given subgroup $\mathcal{H}$ of $\mathcal{E}(F)$, where $\mathcal{E}(F)$ is the homotopy automorphism group of the fiber. Furthermore, we classify these $\mathcal{H}$-fibration sequences via a universal $\mathcal{H}$-fibration sequence.

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Mario Fuentes. 2021-02-02. Classification of fiber sequences with a prescribed holonomy action. https://arxiv.org/abs/2102.01477

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