BPS Invariants for a Knot in Seifert Manifolds
Abstract
We calculate homological blocks for a knot in Seifert manifolds from the ChernSimons partition function with a Wilson loop operator when the gauge group is $SU(N)$. From the expectation value of the Wilson loop operator, we obtain the homological blocks by analytically continuing the ChernSimons level with a given representation. We also obtain homological blocks with the analytically continued level and representation for a knot in the Seifert integer homology spheres.
 Publication:

arXiv eprints
 Pub Date:
 January 2022
 arXiv:
 arXiv:2201.08351
 Bibcode:
 2022arXiv220108351C
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Geometric Topology
 EPrint:
 24 pages, v2 minor revisions