Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Handle slides for delta-matroids   A classic exercise in the topology of surfaces is to show that, using handle
slides, every disc-band surface, or 1-vertex ribbon graph, can be put in a
canonical form consisting of the connected sum of orientable loops, and either
non-orientable loops or pairs of interlaced orientable loops. Motivated by the
principle that ribbon graph theory informs delta-matroid theory, we find the
delta-matroid analogue of this surface classification. We show that, using a
delta-matroid analogue of handle-slides, every binary delta-matroid in which
the empty set is feasible can be written in a canonical form consisting of the
direct sum of the delta-matroids of orientable loops, and either non-orientable
loops or pairs of interlaced orientable loops. Our delta-matroid results are
compatible with the surface results in the sense that they are their ribbon
graphic delta-matroidal analogues.

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The categories of this paper are: math-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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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: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int