Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morse-Novikov critical point theory, Cohn localization and Dirichlet
  units   In this paper we construct a Universal chain complex, counting zeros of
closed 1-forms on a manifold. The Universal complex is a refinement of the well
known Novikov complex; it relates the homotopy type of the manifold, after a
suitable noncommutative localization, with the numbers of zeros of different
indices which may have closed 1-forms within a given cohomology class. The Main
Theorem of the paper generalizes the result of a joint paper with A. Ranicki,
which treats the special case of closed 1-forms having integral cohomology
classes. The present paper also describes a number of new inequalities, giving
topological lower bounds on the number of zeroes of closed 1-forms. In
particular, such estimates are provided by the homology of flat line bundles
with monodromy described by complex numbers which are not Dirichlet units.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: chao-dyn
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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: patt-sol
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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: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ph