English

Remarks on Congruence of 3-manifolds

Geometric Topology 2015-10-28 v1

Abstract

We give two proofs that the 3-torus is not weakly d-congruent to the connected sum of three S^1xS^2's, if d>2. We study how cohomology ring structure relates to weak congruence. We give an example of three 3--manifolds which are weakly 5-congruent but are not 5-congruent.

Keywords

Cite

@article{arxiv.0711.2673,
  title  = {Remarks on Congruence of 3-manifolds},
  author = {Patrick M. Gilmer},
  journal= {arXiv preprint arXiv:0711.2673},
  year   = {2015}
}

Comments

4 pages, to appear in JKTR

R2 v1 2026-06-21T09:44:19.275Z