Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 3D Topological Models and Heegaard Splitting II: Pontryagin duality and
  Observables   In a previous article, a construction of the smooth Deligne-Beilinson
cohomology groups $H^p_D(M)$ on a closed $3$-manifold $M$ represented by a
Heegaard splitting $X_L \cup_f X_R$ was presented. Then, a determination of the
partition functions of the $U(1)$ Chern-Simons and BF Quantum Field theories
was deduced from this construction. In this second and concluding article we
stay in the context of a Heegaard spitting of $M$ to define Deligne-Beilinson
$1$-currents whose equivalent classes form the elements of $H^1_D(M)^\star$,
the Pontryagin dual of $H^1_D(M)$. Finally, we use singular fields to first
recover the partition functions of the $U(1)$ Chern-Simons and BF quantum field
theories, and next to determine the link invariants defined by these theories.
The difference between the use of smooth and singular fields is also discussed.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: quant-ph
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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: cmp-lg
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: econ