[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2010.47.5.925

REGULAR GENUS AND PRODUCTS OF SPHERES

Spaggiari, Fulvia (DIPARTIMENTO DI MATEMATICA UNIVERSITA DI MODENA E REGGIO EMILIA)

Publication Information

Journal of the Korean Mathematical Society / v.47, no.5, 2010 , pp. 925-934 More about this Journal

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 $\mathbb{S}\;{\times}\;\mathbb{S}^n$ , $n\;{\geq}\;3$ , stated in [J. Korean Math. Soc. 41 (2004), no. 3, p. 420].

Keywords

PL manifold; regular genus; product of spheres; crystallization;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)
Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 0

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