  We clarify some aspects of the map between the c=1 string theory at self-dual
radius and the topologically twisted cigar at level one. We map the ZZ and FZZT
D-branes in the c=1 string theory at self dual radius to the localized and
extended branes in the topological theory on the cigar. We show that the open
string spectrum on the branes in the two theories are in correspondence with
each other, and their two point correlators are equal. We also find a
representation of an extended N=2 algebra on the worldsheet which incorporates
higher spin currents in terms of asymptotic variables on the cigar.
