Knot lattice homology and $q$-series invariants for plumbed knot complements

Rostislav Akhmechet, Peter K. Johnson, Sunghyuk Park

We introduce an invariant of negative definite plumbed knot complements unifying knot lattice homology, due to Ozsváth, Stipsicz, and Szabó, and the BPS $q$-series of Gukov and Man…