TL;DR
This paper introduces a new q-series invariant for a class of 3-manifolds associated with the Lie superalgebra osp(2|2n), expanding the scope of topological invariants linked to Lie superalgebras.
Contribution
It develops a q-series for osp(2|2n), complementing existing invariants for sl(m|n), thus broadening the understanding of topological invariants related to Lie superalgebras.
Findings
Constructed a q-series invariant for osp(2|2n)
Extended the class of 3-manifold invariants to include osp(2|2n)
Provided explicit formulas for the new q-series
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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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology