For odd r not dividing n, the weight modules of the restricted unrolled quantum group of osp(2|2n) form a relative modular category, giving new decorated TQFTs.
Towards a q-series for osp(2|2n)
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abstract
A series invariant for a certain class of closed 3-manifolds associated with a type I Lie superalgebra sl(m|n) was introduced recently. We find a q-series for the other Lie superalgebra of the same type of the minimum rank.
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Relative modular categories from $\mathfrak{osp}(2 \vert 2n)$
For odd r not dividing n, the weight modules of the restricted unrolled quantum group of osp(2|2n) form a relative modular category, giving new decorated TQFTs.