REGULAR GENUS AND PRODUCTS OF SPHERES
Fulvia Spaggiari · Journal of the Korean Mathematical Society · 2010
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].