Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The maximal decomposition of the Turaev-Viro TQFT   In a previous work arXiv:0903.4512, we have built an homotopical Turaev-Viro
invariant and an HQFT from the universal graduation of a spherical category. In
the present paper, we show that every graduation $(G,p)$ of a spherical
category $\C$ defines an homotopical Turaev-Viro invariant $HTV_{\C}^{(G,p)}$
and an HQFT $\m{H}_{\C}^{(G,p)}$. Furthermore we show that the Turaev-Viro TQFT
will be split into blocks coming the HQFT $\m{H}_{\C}^{(G,p)}$. We show that
this decomposition is maximal for the universal graduation of the category,
which means that for every graduation $(G,p)$ the HQFT $\m{H}_{\C}^{(G,p)}$ is
split into blocks coming from the HQFT obtained from the universal graduation.

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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
1
The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: econ
4
The categories of this paper are: cond-mat
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The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: bayes-an
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: q-alg
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The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn