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We quantize the topological $\sigma$-model. The quantum master equation ofthe Batalin-Vilkovisky formalism $\Delta_\rho \Psi = 0$ appears as a conditionwhich eliminates the exact states from the BRST invariant states $\Psi$ definedby $Q \Psi = 0$. The phase space of the BV formalism is a supermanifold with aspecific symplectic structure, called the fermionic K\"ahler manifold.Comment: 12 pages, Plain TEX, KUL-TF-93/3

QUANTIZATION OF THE TOPOLOGICAL σ-MODEL AND THE MASTER EQUATION OF THE BV FORMALISM