Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: De Rham theorem for extended L^2-cohomology   We prove an analogue of the de Rham theorem for the extended L^2-cohomology
introduced by M. Farber. This is done by establishing that the de Rham complex
over a compact closed manifold with coefficients in a flat Hilbert bundle E of
A-modules over a finite von Neumann algebra A is chain-homotopy equivalent
(with bounded morphisms and homotopy operators) to a combinatorial complex with
the same coefficients. This is established by using the Witten deformation of
the de Rham complex. We also prove that the de Rham complex is chain-homotopy
equivalent to the spectrally truncated de Rham complex which is also finitely
generated.

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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
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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: q-fin