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Equilibrium decompositions of 4-manifolds and abstract regular 5-polytopes
Published online by Cambridge University Press: 26 February 2010
Abstract
Decompositions of simply connected 4-manifolds into three closed 4-balls are studied from the view-point of abstract regular polytopes of Schläfli type {p, q, 2, 3}. The three balls correspond to three ditopes, their common intersection corresponds to a regular map of type {p, q} as an equilibrium surface whose genus equals the “genus” of the 4-manifold.
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- Copyright © University College London 1997