Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transversal Dirac operators on distributions, foliations, and
  G-manifolds: Lecture notes   In these survey lectures, we investigate the geometric and analytic
properties of transverse Dirac operators. In particular, we define a transverse
Dirac operator associated to a distribution that is essentially self-adjoint
(Prokhorenkov-R result). We describe the Habib-R Theorem showing that the
invariance of the spectrum of a basic Dirac operator on a Riemannian foliation.
The Bruening-Kamber-R theorems give Atiyah-Singer type formulas for the
equivariant index of transversally elliptic operators on G-manifolds and the
index of basic Dirac operators on Riemannian foliations. These notes contain
exercises at the end of each subsection and are meant to be accessible to
graduate students.

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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: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-bio