English

Classification of fiber sequences with a prescribed holonomy action

Algebraic Topology 2021-05-12 v3

Abstract

We define H\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 H\mathcal{H} of E(F)\mathcal{E}(F), where E(F)\mathcal{E}(F) is the homotopy automorphism group of the fiber. Furthermore, we classify these H\mathcal{H}-fibration sequences via a universal H\mathcal{H}-fibration sequence.

Keywords

Cite

@article{arxiv.2102.01477,
  title  = {Classification of fiber sequences with a prescribed holonomy action},
  author = {Mario Fuentes},
  journal= {arXiv preprint arXiv:2102.01477},
  year   = {2021}
}
R2 v1 2026-06-23T22:45:47.665Z