4 papers
Full twists and stability of knots and quivers
Sachin Chauhan, Piotr Kucharski, Dmitry Noshchenko +3
We relate the stability of knot invariants under twisting a pair of strands to the stability of symmetric quivers under unlinking (or linking) operation. Starting from the HOMFLY-P…
Billiard Partitions, Fibonacci Sequences, SIP Classes, and Quivers
Vladimir Dragović, Marko Stošić
Starting from billiard partitions which arose recently in the description of periodic trajectories of ellipsoidal billiards in -dimensional Euclidean space, we introduce a new t…
Generalized knots-quivers correspondence
Marko Stošić
We propose a generalized version of knots-quivers correspondence, where the quiver series variables specialize to arbitrary powers of the knot HOMFLY-PT polynomial series variable.…
Donaldson-Thomas invariants, torus knots, and lattice paths
Miłosz Panfil, Marko Stošić, Piotr Sułkowski
In this paper we find and explore the correspondence between quivers, torus knots, and combinatorics of counting paths. Our first result pertains to quiver representation theory --…