Bridge genus and braid genus of lens space

摘要

The bridge genus and the braid genus are invariants of a closed connected orientable 3-manifold introduced by A. Kawauchi. The Heegaard genus, the bridge genus and the braid genus are linearly independent as invariants of a closed connected orientable 3-manifold. In this paper, we calculate the bridge genus and the braid genus for some lens spaces, and we give the upper bounds of the braid genus for all lens spaces. (C) 2015 Elsevier B.V. All rights reserved.