English

A new proof of the virtual Haken conjecture

Geometric Topology 2025-11-14 v2

Abstract

A new direct proof of the Virtual Haken Conjecture, which asserts that every compact, orientable, irreducible three-dimensional manifold with infinite fundamental group has a finite cover that is Haken, will be given.

Keywords

Cite

@article{arxiv.2510.00617,
  title  = {A new proof of the virtual Haken conjecture},
  author = {Charalampos Charitos},
  journal= {arXiv preprint arXiv:2510.00617},
  year   = {2025}
}