Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Selective Categories and Linear Canonical Relations   A construction of Wehrheim and Woodward circumvents the problem that
compositions of smooth canonical relations are not always smooth, building a
category suitable for functorial quantization. To apply their construction to
more examples, we introduce a notion of highly selective category, in which
only certain morphisms and certain pairs of these morphisms are "good". We then
apply this notion to the category $\mathbf{SLREL}$ of linear canonical
relations and the result ${\rm WW}(\mathbf{SLREL})$ of our version of the WW
construction, identifying the morphisms in the latter with pairs $(L,k)$
consisting of a linear canonical relation and a nonnegative integer. We put a
topology on this category of indexed linear canonical relations for which
composition is continuous, unlike the composition in $\mathbf{SLREL}$ itself.
Subsequent papers will consider this category from the viewpoint of derived
geometry and will concern quantum counterparts.

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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex