Geodesic
Chiral covers of hypermaps
Ars Mathematica Contemporanea, Tome 8 (2015) no. 2, pp. 425-431.

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Generalising a conjecture of Singerman, it is shown that there are orientably regular chiral hypermaps (equivalently regular chiral dessins d'enfants) of every non-spherical type. The proof uses the representation theory of automorphism groups of Riemann surfaces acting on homology and on various spaces of differentials. Some examples are given.
DOI : 10.26493/1855-3974.587.3eb
Keywords: Chiral hypermap, chiral map, harmonic differential, homology group. 
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Gareth A. Jones. Chiral covers of hypermaps. Ars Mathematica Contemporanea, Tome 8 (2015) no. 2, pp. 425-431. doi : 10.26493/1855-3974.587.3eb. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.587.3eb/

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