Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homology and orientation reversing periodic maps on surfaces   In this paper, we give a classification of orientation reversing periodic
maps on closed surfaces which generalizes the theory of Nielsen for the
orientation preserving periodic maps.
  On one hand, we give a group of data for each orientation reversing periodic
map such that two periodic maps with the same data must be conjugate to each
other. On the other hand, we give the criterion to judge when two different
groups of data correspond to the same conjugacy class.
  As an application of the results of this paper, we shall show that a given
orientation reversing periodic map on $\Sigma_g$ with period larger than or
equal to $3g$ must be conjugate to the power of a list of particular types of
periodic maps.

37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an