English

Indecomposable non-orientable $PD_3$-complexes

Geometric Topology 2021-02-24 v4

Abstract

We show that the orientable double covering space of an indecomposable non-orientable PD3PD_3-complex has torsion free fundamental group.

Cite

@article{arxiv.1401.6724,
  title  = {Indecomposable non-orientable $PD_3$-complexes},
  author = {J. A. Hillman},
  journal= {arXiv preprint arXiv:1401.6724},
  year   = {2021}
}

Comments

Treatment of Jacobian matrix in Lemma 3 corrected. v3 has been expanded to be more self-contained. New Lemma 5 in v4, to clarify argument of main result

R2 v1 2026-06-22T02:55:07.624Z