 Another widely studied class of moduli spaces are the Kontsevich moduli spaces parameterizing the space of stable maps between curves of a fixed genus to a fixed space formula_49 whose image represents a fixed cohomology class.These moduli spaces are denotedformula_122and can have wild behavior, such as being reducible stacks whose components are non-equal dimension.For example, the moduli stack formula_123has smooth curves parametrized by an open subset formula_124.