Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the $U_{q}(osp(1|2n))$ and $U_{-q}(so(2n+1))$ Uncoloured Quantum Link
  Invariants   Let $L$ be a link and $\Phi^{A}_{L}(q)$ its link invariant associated with
the vector representation of the quantum (super)algebra $U_{q}(A)$. Let
$F_{L}(r,s)$ be the Kauffman link invariant for $L$ associated with the
Birman--Wenzl--Murakami algebra $BWM_{f}(r,s)$ for complex parameters $r$ and
$s$ and a sufficiently large rank $f$. For an arbitrary link $L$, we show that
$\Phi^{osp(1|2n)}_{L}(q) = F_{L}(-q^{2n},q)$ and $\Phi^{so(2n+1)}_{L}(-q) =
F_{L}(q^{2n},-q)$ for each positive integer $n$ and all sufficiently large $f$,
and that $\Phi^{osp(1|2n)}_{L}(q)$ and $\Phi^{so(2n+1)}_{L}(-q)$ are identical
up to a substitution of variables. For at least one class of links
$F_{L}(-r,-s) = F_{L}(r,s)$ implying $\Phi^{osp(1|2n)}_{L}(q) =
\Phi^{so(2n+1)}_{L}(-q)$ for these links.

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The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org