Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Level raising and completed cohomology   We describe an application of Poincar\'e duality for completed homology
spaces (as defined by Emerton) to level raising for p-adic modular forms. This
allows us to give a new description of the image of Chenevier's p-adic
Jacquet-Langlands map between an eigencurve for a definite quaternion algebra
and an eigencurve for GL(2). The points on the eigencurve at which we "raise
the level" are (non-smooth) points of intersection between an "old" and a "new"
component.

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The categories of this paper are: mtrl-th
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The categories of this paper are: patt-sol
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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: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: chem-ph