We describe a simple algorithm to obtain a catalogue of 3-bridge links by computer, depending upon 6-tuples of positive integers. This permits us to represent the genus two 3-manifolds by standardly constructed graphs with colored edges. Finally, we prove some results about the topological structure of these manifolds and extend the combinatorial representation to n-bridge links.
Special representations of n-bridge links / Cavicchioli, Alberto; Ruini, Beatrice. - In: DISCRETE & COMPUTATIONAL GEOMETRY. - ISSN 0179-5376. - STAMPA. - 12:(1994), pp. 9-27.
Special representations of n-bridge links
CAVICCHIOLI, Alberto;RUINI, Beatrice
1994
Abstract
We describe a simple algorithm to obtain a catalogue of 3-bridge links by computer, depending upon 6-tuples of positive integers. This permits us to represent the genus two 3-manifolds by standardly constructed graphs with colored edges. Finally, we prove some results about the topological structure of these manifolds and extend the combinatorial representation to n-bridge links.
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