Title

Cellular Automorphisms and Self-Duality

Document Type

Article

Publication Date

11-2015

Abstract

We catalog up to a type of reducibility all cellular automorphisms of the sphere, projective plane, torus, Klein bottle, and three-crosscaps (Dyck's) surface. We also show how one can obtain all self-dual embeddings in a surface S given a catalog of all irreducible cellular automorphisms in S.

DOI

10.1090/tran/6258