Topology of Boundary Surfaces in 3D Simplicial Gravity
H. S. Egawa, N. Tsuda
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 S3 topology. Evidence of a scaling behavior of the genus distributions of boundary surfaces has been found.
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