Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the domain of Dirac and Laplace type operators on stratified spaces   We consider a generalized Dirac operator on a compact stratified space with
an iterated cone-edge metric. Assuming a spectral Witt condition, we prove its
essential self-adjointness and identify its domain and the domain of its square
with weighted edge Sobolev spaces. This sharpens previous results where the
minimal domain is shown only to be a subset of an intersection of weighted edge
Sobolev spaces. Our argument does not rely on microlocal techniques and is very
explicit. The novelty of our approach is the use of an abstract functional
analytic notion of interpolation scales. Our results hold for the Gauss-Bonnet
and spin Dirac operators satisfying a spectral Witt condition.

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The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
25
The categories of this paper are: patt-sol