  We study the topologically twisted cigar, namely the SL(2,R)/U(1)
superconformal field theory at arbitrary level, and find the BRST cohomology of
the topologically twisted N=2 theory. We find a one to one correspondence
between the spectrum of the twisted coset and singular vectors in the Wakimoto
modules constructed over the SL(2,R) current algebra. The topological cigar
cohomology is the crucial ingredient in calculating the closed string spectrum
of topological strings on non-compact Gepner models.
