Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Darboux coordinates for Hamiltonian structures defined by Novikov
  algebras   The Gauss-Manin equations are solved for a class of flat-metrics defined by
Novikov algebras, this generalizing a result of Balinskii and Novikov who
solved this problem in the case of commutative Novikov algebras (where the
algebraic conditions reduce to those of a Frobenius algebra). The problem stems
from the theory of first-order Hamiltonian operators and their reduction to a
constant, or Darboux, form. The monodromy group associated with the Novikov
algebra gives rise to an orbit space, which is, for a wide range of Novikov
algebras, a cyclic quotient singularity.

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The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
12
The categories of this paper are: nucl-th
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat