54 citations · 79 across the 3 of their papers we have counts for
6 papers
Permutohedra for knots and quivers
Jakub Jankowski, Piotr Kucharski, Hélder Larraguível +2
The knots-quivers correspondence states that various characteristics of a knot are encoded in the corresponding quiver and the moduli space of its representations. However, this co…
Quivers for 3-manifolds: the correspondence, BPS states, and 3d =2 theories
Piotr Kucharski
We introduce and explore the relation between quivers and 3-manifolds with the topology of the knot complement. This idea can be viewed as an adaptation of the knots-quivers corres…
Multi-cover skeins, quivers, and 3d dualities
Tobias Ekholm, Piotr Kucharski, Pietro Longhi
The relation between open topological strings and representation theory of symmetric quivers is explored beyond the original setting of the knot-quiver correspondence. Multiple cov…
invariants at rational
Piotr Kucharski
invariants of 3-manifolds were introduced as series in in order to categorify Witten-Reshetikhin-Turaev invariants corresponding to . However modulari…
Physics and geometry of knots-quivers correspondence
Tobias Ekholm, Piotr Kucharski, Pietro Longhi
The recently conjectured knots-quivers correspondence relates gauge theoretic invariants of a knot in the 3-sphere to representation theory of a quiver associated to th…
BPS states, knots and quivers
Piotr Kucharski, Markus Reineke, Marko Stosic +1
We argue how to identify supersymmetric quiver quantum mechanics description of BPS states, which arise in string theory in brane systems representing knots. This leads to a surpri…