Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pattern Equivariant Mass Transport in Aperiodic Tilings and Cohomology   Suppose that we have a repetitive and aperiodic tiling $\bf T$ of
$\mathbb{R}^n$, and two mass distributions $f_1$ and $f_2$ on $\mathbb{R}^n$,
each pattern equivariant with respect to $\bf T$. Under what circumstances is
it possible to do a bounded transport from $f_1$ to $f_2$? When is it possible
to do this transport in a strongly or weakly pattern-equivariant way? We reduce
these questions to properties of the \v Cech cohomology of the hull of $\bf T$,
properties that in most common examples are already well-understood.

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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
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The categories of this paper are: plasm-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
3
The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: eess