Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Enumeration of Unsensed Orientable Maps on Surfaces of a Given Genus   In this work for the first time we enumerate unlabelled maps on orientable
genus $g$ surfaces with respect to all homeomorphisms, including both
orientation-preserving and orientation-reversing. We show that in the latter
case as an intermediate step one has to enumerate rooted maps of a special kind
(quotient maps) on orientable and non-orientable surfaces possibly having a
boundary and a certain number of branch points. In this work we develop a
special technique for enumerating such maps.

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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom
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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: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: q-bio