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

30 Sep 2019  ·  Sekino Nozomu ·

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.

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Geometric Topology