In this paper, the extension of the notion of “wave move” to crystallizations (by Casali-Grasselli) leads to a “reduced” catalogue of all genus $g\le 2$ 3-manifolds, depending on 6-tuples of positive integers. The appendix shows a partial output of the computer program which generates the catalogue and gives a presentation of the fundamental group of each element.
A catalogue of the genus two 3-manifolds / Casali, Maria Rita. - In: ATTI DEL SEMINARIO MATEMATICO E FISICO DELL'UNIVERSITA' DI MODENA. - ISSN 0041-8986. - STAMPA. - 37:(1989), pp. 207-236.
A catalogue of the genus two 3-manifolds
CASALI, Maria Rita
1989
Abstract
In this paper, the extension of the notion of “wave move” to crystallizations (by Casali-Grasselli) leads to a “reduced” catalogue of all genus $g\le 2$ 3-manifolds, depending on 6-tuples of positive integers. The appendix shows a partial output of the computer program which generates the catalogue and gives a presentation of the fundamental group of each element.
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