Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ends of the moduli space of Higgs bundles   We associate to each stable Higgs pair $(A_0,\Phi_0)$ on a compact Riemann
surface $X$ a singular limiting configuration $(A_\infty,\Phi_\infty)$,
assuming that $\det \Phi$ has only simple zeroes. We then prove a
desingularization theorem by constructing a family of solutions $(A_t,t\Phi_t)$
to Hitchin's equations which converge to this limiting configuration as $t \to
\infty$. This provides a new proof, via gluing methods, for elements in the
ends of the Higgs bundle moduli space and identifies a dense open subset of the
boundary of the compactification of this moduli space.

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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: q-bio
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: ao-sci
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The categories of this paper are: nlin
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-th