Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Khovanov homotopy calculations using flow category calculus   The Lipshitz-Sarkar stable homotopy link invariant defines Steenrod squares
on the Khovanov cohomology of a link. Lipshitz-Sarkar constructed an algorithm
for computing the first two Steenrod squares. We develop a new algorithm which
implements the flow category simplification techniques previously defined by
the authors and Dan Jones. We give a purely combinatorial approach to
calculating the second Steenrod square and Bockstein homomorphisms in Khovanov
cohomology, and flow categories in general.
  The new method has been implemented in a computer program by the third author
and applied to large classes of knots and links. Several homotopy types not
previously witnessed are observed, and more evidence is obtained that Khovanov
stable homotopy types do not contain $\mathbb{C} P^2$ as a wedge summand. In
fact, we are led by our calculations to formulate an even stronger conjecture
in terms of $\mathbb{Z}/2$ summands of the cohomology.

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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci