  For spectrally negative L\'evy processes, we prove several fluctuation
results involving a general draw-down time, which is a downward exit time from
a dynamic level that depends on the running maximum of the process. In
particular, we find expressions of the Laplace transforms for the two-sided
exit problems involving the draw-down time. We also find the Laplace transforms
for the hitting time and creeping time over the running-maximum related
draw-down level, respectively, and obtain an expression for a draw-down
associated potential measure. The results are expressed in terms of scale
functions for the spectrally negative L\'evy processes.
