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Geometrisation of 3-manifolds

Geometric Topology 2026-05-25 v1 Differential Geometry

Abstract

The geometrisation theorem of 3-manifolds was conjectured by Thurston the 1980s and proved by Perelman in the 2000s. This is an overview on the subject. We explain the content of the theorem and describe its effects in various situations.

Keywords

Cite

@article{arxiv.2605.23679,
  title  = {Geometrisation of 3-manifolds},
  author = {Bruno Martelli},
  journal= {arXiv preprint arXiv:2605.23679},
  year   = {2026}
}

Comments

27 pages, 26 figures