Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal Structures in Noncommutative Geometry   It is well-known that a compact Riemannian spin manifold can be reconstructed
from its canonical spectral triple which consists of the algebra of smooth
functions, the Hilbert space of square integrable spinors and the Dirac
operator. It seems to be a folklore fact that the metric can be reconstructed
up to conformal equivalence if one replaces the Dirac operator D by sign(D). We
give a precise formulation and proof of this fact.

9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat