Z-hat three-manifold invariants are shown to depend only on the Lie algebra, and a quiver matrix block structure is conjectured for double twist knots.
Three Dimensional Chern-Simons Theory as a Theory of Knots and Links III : Compact Semi-simple Group
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abstract
Chern-Simons field theory based on a compact non-abelian gauge group is studied as a theory of knots and links in three dimensions. A method to obtain the invariants for links made from braids of upto four strands is developed. This generalizes our earlier work on $SU(2)$ Chern-Simons theory.
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$q$-Series Invariants of Three-Manifolds and Knots-Quivers Correspondence
Z-hat three-manifold invariants are shown to depend only on the Lie algebra, and a quiver matrix block structure is conjectured for double twist knots.