Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global fixed points of mapping class group actions and a theorem of
  Markovic   We give a short and elementary proof of the non-realizability of the mapping
class group via homeomorphisms. This was originally established by Markovic,
resolving a conjecture of Thurston. With the tools established in this paper,
we also obtain some rigidity results for actions of the mapping class group on
Euclidean spaces.

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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-th