Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral geometry on manifolds with fibred boundary metrics II: heat
  kernel asymptotics   In this paper we continue the analysis of spectral problems in the setting of
complete manifolds with fibred boundary metrics, also referred to as
$\phi$-metrics, as initiated in our previous work. We consider the Hodge
Laplacian for a $\phi$-metric and construct the corresponding heat kernel as a
polyhomogeneous conormal distribution on an appropriate manifold with corners.
Our discussion is a generalization of an earlier work by Albin and Sher, and
provides a fundamental first step towards analysis of Ray-Singer torsion,
eta-invariants and index theorems in the setting.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org