BPS Invariants for a Knot in Seifert Manifolds

Abstract

We calculate homological blocks for a knot in Seifert manifolds when the gauge group is $SU(N)$. We obtain the homological blocks with a given representation of the gauge group from the expectation value of the Wilson loop operator by analytically continuing the Chern-Simons level. We also obtain homological blocks with the analytically continued level and representation for a knot in the Seifert integer homology spheres.

26 pages, v2 minor revisions; v3 minor revisions, published version

References in corpus (2)

• Branches, quivers, and ideals for knot complements
• Resurgent Analysis for Some 3-manifold Invariants

Cited by in corpus (1)

• Quantum Modular $\hat{Z}{}^G$-Invariants