We analyze the action of the spectral flows on N = 2 twisted topologic
al theories. We show that they provide a useful mapping between the tw
o twisted topological theories associated to a given N = 2 superconfor
mal theory. This mapping can also be viewed as a topological algebra a
utomorphism. In particular null vectors are mapped into null vectors,
considerably simplifying their computation. We give the level 2 result
s. Finally we discuss the spectral flow mapping in the case of the DDK
and KM realizations of the topological algebra.