Abstract

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 φg[−1](φf[−1]A•) are important for a number of reasons. We give a formula for the stalk cohomology H*(φg[−1]φf[−1]A•)x in terms of relative polar curves, algebra, and Morse modules of A•.

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