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 S^2 X S^n, n >=3, stated in [J. Korean Math. Soc. 41 (2004), n.3, p. 420].
Regular genus and products of spheres / Spaggiari, Fulvia. - In: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. - ISSN 0304-9914. - STAMPA. - 47:5(2010), pp. 925-934. [10.4134/JKMS.2010.47.5.925]
Regular genus and products of spheres
SPAGGIARI, Fulvia
2010
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 S^2 X S^n, n >=3, stated in [J. Korean Math. Soc. 41 (2004), n.3, p. 420].
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