Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anti-self-dual orbifolds with cyclic quotient singularities   An index theorem for the anti-self-dual deformation complex on anti-self-dual
orbifolds with cyclic quotient singularities is proved. We present two
applications of this theorem. The first is to compute the dimension of the
deformation space of the Calderbank-Singer scalar-flat Kahler toric ALE spaces.
A corollary of this is that, except for the Eguchi-Hanson metric, all of these
spaces admit non-toric anti-self-dual deformations, thus yielding many new
examples of anti-self-dual ALE spaces. For our second application, we compute
the dimension of the deformation space of the canonical Bochner-Kahler metric
on any weighted projective space $\mathbb{CP}^2_{(r,q,p)}$ for relatively prime
integers $1 < r < q < p$. A corollary of this is that, while these metrics are
rigid as Bochner-Kahler metrics, infinitely many of these admit non-trival
self-dual deformations, yielding a large class of new examples of self-dual
orbifold metrics on certain weighted projective spaces.

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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
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The categories of this paper are: ao-sci
3
The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio