Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Applications of canonical relations in generic differential geometry   Conflict sets are loci of intersecting wavefronts emanating from $l$
different surfaces. We show that generically conflict sets are Legendrian:
locally they admit the structure of wavefronts. Simple stable singularities for
this problem in $\R^n$ occur when $0 \leq n-l \leq 4$. Other related sets, such
as kite curves and centre sets are also defined and discussed. Throughout
canonical relations are used as an essential tool to carry out several of these
geometrical constructions.

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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: mtrl-th
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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: solv-int
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The categories of this paper are: eess
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph