English

Homology handles with trivial Alexander polynomial

Geometric Topology 2020-10-21 v1

Abstract

Using Freedman and Quinn's result for Z\mathbb{Z}-homology 3-spheres, we show that a 3-dimensional homology handle with trivial Alexander polynomial bounds a homology S1×D3S^1\times D^3. As a consequence, a distinguished homology handle with trivial Alexander polynomial is topologically null H~\widetilde{H}-cobordant.

Keywords

Cite

@article{arxiv.2010.09962,
  title  = {Homology handles with trivial Alexander polynomial},
  author = {Dongsoo Lee},
  journal= {arXiv preprint arXiv:2010.09962},
  year   = {2020}
}