Topology of Boundary Surfaces in 3D Simplicial Gravity

Abstract

A model of simplicial quantum gravity in three dimensions(3D) was investigated numerically based on the technique of dynamical triangulation (DT). We are concerned with the genus of surfaces appearing on boundaries (i.e., sections) of a 3D DT manifold with $S^{3}$ topology. Evidence of a scaling behavior of the genus distributions of boundary surfaces has been found.Comment: 3 pages, latex, 4 ps figures, uses espcrc2.sty. Talk presented at LATTICE'97(gravity