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Hypermaps on Surfaces with Boundary

✍ Scribed by Milagros Izquierdo; David Singerman

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
402 KB
Volume
15
Category
Article
ISSN
0195-6698

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✦ Synopsis

We introduce a theory of hypermaps on surfaces with boundary. A topological hypermap can be associated to an algebraic hypermap which is a quintuple (\left(G, \Omega, c_{1}, c_{2}, c_{3}\right)), where (G) is a group, generated by three involutions (c_{1}, c_{2}) and (c_{3}), that acts transitively on the set (\Omega). Conversely, the topological hypermap can be reconstructed from the algebraic hypermap. This theory is based on the ideas of Cori and Machi, and generalizes the papers of Jones and Singerman and Corn and Singerman.

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