Exact surface and wedge exponents for polymers in two dimensions

Using conformal-invariance arguments in two dimensions, we identify the exact infinite series of basic surface conformal dimensions for polymers, checked by transfer-matrix calculations for the n=0 vector model on a strip. For a self-avoiding branched polymer of arbitrary and fixed topology, near a surface or a wedge, we give the exponent {γ} in two dimensions as a function of the topology and of the wedge opening angle.