Representing products of manifolds by edge-coloured graphs: the boundary case

Citation
P. Bandieri et M. Rivi, Representing products of manifolds by edge-coloured graphs: the boundary case, MATH Z, 236(1), 2001, pp. 23-42
Citations number
17
Categorie Soggetti
Mathematics
Journal title
MATHEMATISCHE ZEITSCHRIFT
ISSN journal
00255874 → ACNP
Volume
236
Issue
1
Year of publication
2001
Pages
23 - 42
Database
ISI
SICI code
0025-5874(200101)236:1<23:RPOMBE>2.0.ZU;2-0
Abstract
In this paper we generalize the construction - introduced by Gagliardi and Grasselli in the closed case - of a coloured-graph representing the product of two manifolds, starting by two coloured graphs representing the manifol ds themselves, to the boundary case. In particular we study the genus of th e graph product of low dimensional manifold ( resp. n-spheres) with m-disks .