Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathfrak{sl}(2)$-type singular fibres of the symplectic and odd
  orthogonal Hitchin system   We define and parametrise so-called $\mathfrak{sl}(2)$-type fibres of the
$\mathsf{Sp}(2n,\mathbb{C})$- and $\mathsf{SO}(2n+1,\mathbb{C})$-Hitchin
system. These are (singular) Hitchin fibres, where the spectral curve induces a
two-sheeted covering of a second Riemann surface $Y$. This identifies the
$\mathfrak{sl}(2)$-type Hitchin fibres with fibres of an
$\mathsf{SL}(2,\mathbb{C})$- respectively $\mathsf{PSL}(2,\mathbb{C})$-Hitchin
map on $Y$. We give a stratification of these singular spaces by semi-abelian
spectral data, study their irreducible components and obtain a global
description of the first degenerations. Comparing the semi-abelian spectral
data of $\mathfrak{sl}(2)$-type Hitchin fibres for the two Langlands dual
groups, we extend the well-known Langlands duality of regular Hitchin fibres to
$\mathfrak{sl}(2)$-type Hitchin fibres. Finally, we construct solutions to the
decoupled Hitchin equation for Higgs bundles of $\mathfrak{sl}(2)$-type. We
conjecture these to be limiting metrics along rays to the ends of the moduli
space.

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The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th