Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Helicoidal minimal surfaces of prescribed genus, I   For every genus g, we prove that S^2 x R contains complete, properly
embedded, genus-g minimal surfaces whose two ends are asymptotic to helicoids
of any prescribed pitch. We also show that as the radius of the S^2 tends to
infinity, these examples converge smoothly to complete, properly embedded
minimal surfaces in Euclidean 3-space R^3 that are helicoidal at infinity. In a
companion paper, we prove that helicoidal surfaces in R^3 of every prescribed
genus occur as such limits of examples in S^2 x R.

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The categories of this paper are: nlin
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph