Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Cheeger-M\"uller theorem for manifolds with wedge singularities   We study the spectrum and heat kernel of the Hodge Laplacian with
coefficients in a flat bundle on a closed manifold degenerating to a manifold
with wedge singularities. Provided the Hodge Laplacians in the fibers of the
wedge have an appropriate spectral gap, we give uniform constructions of the
resolvent and heat kernel on suitable manifolds with corners. When the wedge
manifold and the base of the wedge are odd dimensional, this is used to obtain
a Cheeger-M\"uller theorem relating analytic torsion with the Reidemeister
torsion of the natural compactification by a manifold with boundary.

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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nlin