nLab knots-quivers correspondence



Knot theory

String theory



The knots-quivers correspondence [KRSS19] is a certain identification between invariants of knots and data encoded by representations of corresponding quivers.

The correspondence has been conjectured from geometric engineering via intersecting D-brane models of both knot invariants and quiver gauge theory, motivated by comparing the framework of Ooguri-Vafa large NN duality [OV19] with the motivic generating series for symmetric quivers [R20][E20][KS20].

Beware that the correspondence is far from bijective: Most quivers correspond to no knot and most knots correspond to many different quivers at a time.


The original articles:


based on

Further discussion:

Last revised on April 17, 2023 at 16:27:09. See the history of this page for a list of all contributions to it.