Lens spaces which are realizable as closures of homology cobordisms over planar surfaces

Abstract

We determine the condition on a given lens space having a realization as a closure of homology cobordism over a planar surface with a given number of boundary components. As a corollary, we see that every lens space is represented as a closure of homology cobordism over a planar surface with three boundary components. In the proof of this corollary, we use Chebotarev density theorem.

arXiv comment7 pages, 2 figures

References in corpus (1)

• Every lens space contains a genus one homologically fibered knot