Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A generalization of analytic torsion via differential forms on spaces of
  metrics   We introduce multi-torsion, a spectral invariant generalizing Ray-Singer
analytic torsion. We define multi-torsion for compact manifolds with a certain
local geometric product structure that gives a bigrading on differential forms.
We prove that multi-torsion is metric-independent in a suitable sense. Our
definition of multi-torsion is inspired by an interpretation of each of
analytic torsion and the eta invariant as a regularized integral of a closed
differential form on a space of metrics on a vector bundle or on a space of
elliptic operators. We generalize the Stokes' theorem argument explaining the
dependence of torsion and eta on the geometric data used to define them to the
local product setting to prove our metric-independence theorem for
multi-torsion.

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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
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The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th