REGULAR GENUS AND PRODUCTS OF SPHERES

Title & Authors
REGULAR GENUS AND PRODUCTS OF SPHERES
Spaggiari, Fulvia;

Abstract
A crystallization of a closed connected PL manifold M is a special edge-colored graph representing M via a contracted triangulation. The regular genus of M is the minimum genus of a closed connected surface into which a crystallization of M regularly embeds. We disprove a conjecture on the regular genus of $\small{\mathbb{S}\;{\times}\;\mathbb{S}^n}$, $\small{n\;{\geq}\;3}$, stated in [J. Korean Math. Soc. 41 (2004), no. 3, p. 420].
Keywords
PL manifold;regular genus;product of spheres;crystallization;
Language
English
Cited by
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