Iterated vanishing cycles

If A ^? is a bounded, constructible complex of sheaves on a complex analytic space X, and ${f : X \rightarrow \mathbb{C}}$ and ${g : X \rightarrow \mathbb{C}}$ are complex analytic functions, then the iterated vanishing cycles φ _g ?1](φ _f ?1]A ^?) are important for a number of reasons. We give a formula for the stalk cohomology H*(φ _g ?1]φ _f ?1]A ^?) _x in terms of relative polar curves, algebra, and Morse modules of A ^?.