2 papers
math.GT2026
Flow loops and quantum groups
Sunghyuk Park
This paper connects two seemingly different ways of studying knots: quantum group invariants and the dynamics of Morse flows. For fibered knots, we define a two-variable series inv…
math.GT2024
Knot lattice homology and -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 -series of Gukov and Man…