paper

Decompositions of the 3-sphere and lens spaces with three handlebodies

arXiv:2012.11861

Abstract

In this paper, we consider decompositions of 3-manifolds with three handlebodies. We classify such decompositions of the 3-sphere and lens spaces with small genera. These decompositions admit operations called stabilizations. We also determine whether these decompositions are stabilized.

39 pages, 14 figures