Let A be a hereditary algebra over an algebraically closed field. We prove
that an exact fundamental domain for the m-cluster category of A is the m-left
part of the m-replicated algebra A(m) of A. Moreover, we obtain a
one-to-one correspondence between the tilting objects in the m-cluster category
(that is, the m-clusters) and those tilting A(m)-modules for which all non
projective-injective direct summands lie in the m-left part of A(m).Comment: 28 pages, 2 figure