Enumerating branched surface coverings from unbranched ones
Jin Ho Kwak, Jaeun Lee and Alexander Mednykh
Abstract: The number of non-isomorphic n-fold branched coverings
of a given closed surface can be determined by the number of
non-isomorphic n-fold unbranched coverings of the surface and
the number of non-isomorphic connected n-fold graph coverings
of a suitable bouquet of circles. A similar enumeration can also
be done for regular branched coverings. Some explicit enumerations
are also possible.
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