Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Eta and rho invariants on manifolds with edges   We establish existence of the eta-invariant as well as of the
Atiyah-Patodi-Singer and the Cheeger-Gromov rho-invariants for a class of Dirac
operators on an incomplete edge space. Our analysis applies in particular to
the signature, the Gauss-Bonnet and the spin Dirac operator. We derive an
analogue of the Atiyah-Patodi-Singer index theorem for incomplete edge spaces
and their non-compact infinite Galois coverings with edge singular boundary.
Our arguments employ microlocal analysis of the heat kernel asymptotics on
incomplete edge spaces and the classical argument of Atiyah-Patodi-Singer. As
an application, we discuss stability results for the two rho-invariants we have
defined.

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The categories of this paper are: cond-mat
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas