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Equilibrium decompositions of 4-manifolds and abstract regular 5-polytopes

Part of: Polytopes and polyhedra

Published online by Cambridge University Press:  26 February 2010

Wolfgang Kühnel
Wolfgang Kühnel
Affiliation:
Mathematisches Institut B, Universität Stuttgart, 70550 Stuttgart, Germany.
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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.

MSC classification

Secondary: 52B70: Polyhedral manifolds
Type
Research Article
Information
Mathematika , Volume 44 , Issue 1 , June 1997 , pp. 100 - 112
Copyright
Copyright © University College London 1997

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