Enumeration of Branched Coverings of Nonorientable Surfaces With Cyclic Branch Points

Abstract. In this paper, n-fold branched coverings of a closed nonorientable surface S of genus p with r ≥ 1 cyclic branch points (that is, such that all ramification points over them are of multiplicity n) are considered. The number Np, r(n) of such coverings up to equivalence is evaluated explicitly in a closed form (without using any complicated… (More)