English

Homology cobordism for some Sol manifolds

Geometric Topology 2025-12-24 v1

Abstract

We show that two 3-manifolds that admit Sol geometry and have first homology group of order 16 are integer homology cobordant if and only if they are homeomorphic.

Keywords

Cite

@article{arxiv.2512.19868,
  title  = {Homology cobordism for some Sol manifolds},
  author = {Tye Lidman and Juanita Pinzón-Caicedo},
  journal= {arXiv preprint arXiv:2512.19868},
  year   = {2025}
}

Comments

15 pages, 5 figures, 3 tables