Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vanishing Vanishing Cycles   If $\Adot$ is a bounded, constructible complex of sheaves on a complex
analytic space $X$, and $f:X\to\C$ and $g:X\to\C$ are complex analytic
functions, then the iterated vanishing cycles $\phi_g[-1](\phi_f[-1]\Adot)$ are
important for a number of reasons. We give a formula for the stalk cohomology
$H^*(\phi_g[-1]\phi_f[-1]\Adot)_x$ in terms of relative polar curves, algebra,
and the normal Morse data and micro-support of $\Adot$.

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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int