Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Witten deformation and the spectral package of a Riemannian manifold   The Witten deformation associated to a Morse function on a closed Riemannian
manifold, via Rellich-Kato theorem, relates analytically the spectral package
of the Riemannian manifold (eigenvalues and eigenforms) to the Morse complex
defined by the pair (Morse function, Riemannian metric) coupled with the
"multivariable harmonic oscillators" associated to the critical points of the
Morse function. We survey this relation and discuss some implications,
including the finite subset of the spectral package referred to as the
"virtually small spectral package" .

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: chao-dyn
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The categories of this paper are: alg-geom
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-th
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph