Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cheeger-Mueller Theorem on manifolds with cusps   We prove equality between the renormalized Ray-Singer analytic torsion and
the intersection R-torsion on a Witt-manifold with cusps, up to an error term
determined explicitly by the Betti numbers of the cross section of the cusp and
the intersection R-torsion of a model cone. In the first step of the proof we
compute explicitly the renormalized Ray-Singer analytic torsion of a model cusp
in general dimension and without the Witt-condition. In the second step we
establish a gluing formula for renormalized Ray-Singer analytic torsion on a
general class of non-compact manifolds in any dimension that includes
Witt-manifolds with cusps, but also scattering manifolds with asymptotically
conical ends. In the final step, a Cheeger-Mueller theorem on cusps follows by
a combination of the previous explicit computation and the gluing formula.

33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga