논문KCI 등재
REGULAR GENUS AND PRODUCTS OF SPHERES
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초록
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 S2 × Sn, n ≥ 3, stated in [J. Korean Math. Soc. 41 (2004), no. 3, p. 420].
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 S2 × Sn, n ≥ 3, stated in [J. Korean Math. Soc. 41 (2004), no. 3, p. 420].
참고문헌 (18)
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