Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2004; 41(3): 407-421

Printed May 1, 2004

Copyright © The Korean Mathematical Society.

On the genus of $\mathbb S^m \times \mathbb S^n$

Paola Cristofori

Universita di Modena e Reggio Emilia

Abstract

By using a recursive algorithm, we construct edge-coloured graphs representing products of spheres and consequently we give upper bounds for the regular genus of $\mathbb S^m \times \mathbb S^n$, for each $m,n>0$.

Keywords: regular genus, product of spheres

MSC numbers: 57M15, 57Q15, 05C10

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