11 citations · 26 across the 9 of their papers we have counts for
9 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…
Quivers and BPS states in 3d and 4d
Piotr Kucharski, Pietro Longhi, Dmitry Noshchenko +2
We propose a symmetrization relation between BPS quivers encoding 4d theories and symmetric quivers associated to 3d theories. We analyse in detail…
Knot-quiver correspondence: a brief review
Piotr Kucharski, Dmitry Noshchenko
This note is an overview of the knot-quiver correspondence, which relates symmetric quivers and their partition functions, a.k.a. motivic Donaldson-Thomas generating series, to qua…
Unlinking symmetric quivers
Piotr Kucharski, Hélder Larraguível, Dmitry Noshchenko +1
We analyse the structure of equivalence classes of symmetric quivers whose generating series are equal. We consider such classes constructed using the basic operation of unlinking,…
Quiver diagonalization and open BPS states
Jakub Jankowski, Piotr Kucharski, Hélder Larraguível +2
We show that motivic Donaldson-Thomas invariants of a~symmetric quiver , captured by the generating function , can be encoded in another quiver of (almost al…
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…