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math.QA2024
Lattice paths and quiver generating series with higher level generators
Dušan Đorđević, Marko Stošić
The generalized knots-quivers correspondence extends the original knots-quivers correspondence, by allowing higher level generators of quiver generating series. In this paper we ex…
hep-th2024
Torus knots and generalized Schröder paths
Marko Stošić, Piotr Sułkowski
We relate invariants of torus knots to the counts of a class of lattice paths, which we call generalized Schröder paths. We determine generating functions of such paths, located in…