In this paper, starting from two coloured graphs representing two manifolds with boundary, we produce a coloured graph representing their product. Our construction generalizes the one introduced by Gagliardi and Grasselli for the closed case. In particular we study the genus of the graph representing the product of a low dimensional manifold ( or a n-spheres ) with m-disks.
Representing products of manifolds by edge-coloured graphs: the boundary case / Bandieri, Paola; M., Rivi. - In: MATHEMATISCHE ZEITSCHRIFT. - ISSN 0025-5874. - STAMPA. - 236:(2001), pp. 23-42. [10.1007/PL00004825]
Representing products of manifolds by edge-coloured graphs: the boundary case
BANDIERI, Paola;
2001
Abstract
In this paper, starting from two coloured graphs representing two manifolds with boundary, we produce a coloured graph representing their product. Our construction generalizes the one introduced by Gagliardi and Grasselli for the closed case. In particular we study the genus of the graph representing the product of a low dimensional manifold ( or a n-spheres ) with m-disks.
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