Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fixed points of nilpotent actions on surfaces of negative Euler
  characteristic   We prove that a locally nilpotent group $G$ of $C^{1}$ diffeomorphisms of a
compact surface $S$ of non-vanishing Euler characteristic has a finite orbit
${\mathcal O}$ whose cardinal is bounded by above by a function of the
characteristic of Euler of $S$.
  We focus on the case of negative Euler characteristic $\chi (S)$. Then we can
choose ${\mathcal O}$ so that it consists of global contractible fixed points
of thesubgroup $G_0$ of $G$ consisting of isotopic to the identity elements. In
particular $G$ has a global contractible fixed point if it consists of isotopic
to the identity elements.

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The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: stat
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin