Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A report on "Regulators of canonical extension are torsion; the smooth
  divisor case"   In this note, we report on a work jointly done with C. Simpson on a
generalization of Reznikov's theorem which says that the Chern-Simons classes
and in particular the Deligne Chern classes (in degrees $> 1$) are torsion, of
a flat vector bundle on a smooth complex projective variety. We consider the
case of a smooth quasi--projective variety with an irreducible smooth divisor
at infinity. We define the Chern-Simons classes of the Deligne's
\textit{canonical extension} of a flat vector bundle with unipotent monodromy
at infinity, which lift the Deligne Chern classes and prove that these classes
are torsion. The details of the proof can be found in arxiv:0707.0372
[math.AG].

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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph