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We construct geometric representatives for the C^2/Z_n fractional branes interms of branes wrapping certain exceptional cycles of the resolution. In theprocess we use large radius and conifold-type monodromies, and also check someof the orbifold quantum symmetries. We find the explicit Seiberg-duality whichconnects our fractional branes to the ones given by the McKay correspondence.We also comment on the Harvey-Moore BPS algebras.Comment: 34 pages, v1 identical to v2, v3: typos fixed, discussion of  Harvey-Moore BPS algebras update

$$\mathbb{C}^2/\mathbb{Z}_{n}$$ Fractional Branes and Monodromy