Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Periodic spanning surfaces of periodic knots   Edmonds famously proved that every periodic knot of genus g possesses an
equivariant Seifert surface of genus g. We show that this is not true if one
instead considers nonorientable spanning surfaces of a periodic knot. We
demonstrate by example that the difference between the first Betti number of an
equivariant and a nonequivariant nonorientable spanning surface of a periodic
knot, can be arbitrarily large.

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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th