Symmetries of Topological Field Theories in the BV-framework

Topological eld theories of Schwarz-type generally admit symmetries whose algebra does not close o-shell, e.g. the basic symmetries of BF models or vector supersymmetry of the gauge-xed action for Chern-Simons theory (this symmetry being at the origin of the perturbative niteness of the theory). We present a detailed discussion of all these symmetries within the algebraic approach to the Batalin-Vilkovisky formalism. Moreover, we discuss the general algebraic construction of topological models of both Schwarz- and Witten-type.