Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theta-functions on the Kodaira-Thurston manifold   The Kodaira--Thurston M manifold is a compact, 4-dimensional nilmanifold
which is symplectic and complex but not Kaehler. We describe a construction of
theta-functions associated to M which parallels the classical theory of
theta-functions associated to the torus (from the point of view of
representation theory and geometry), and yields pseudoperiodic complex-valued
functions on R^4.
  There exists a three-step nilpotent Lie group G which acts transitively on
the Kodaira--Thurston manifold M in a Hamiltonian fashion. The theta-functions
discussed in this paper are intimately related to the representation theory of
G in much the same way the classical theta-functions are related to the
Heisenberg group. One aspect of our results which has not appeared in the
classical theory is a connection between the representation theory of G and the
existence of Lagrangian and special Lagrangian foliations and torus fibrations
in M.

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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: physics
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The categories of this paper are: quant-ph
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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: cond-mat