5 papers
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…
3d Modularity Revisited
Miranda C. N. Cheng, Ioana Coman, Piotr Kucharski +2
The three-manifold topological invariants capture the half-index of the three-dimensional theory with supersymmetry obtained by compactifying the M5 bran…
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…
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…
What makes math problems hard for reinforcement learning: a case study
Ali Shehper, Anibal M. Medina-Mardones, Lucas Fagan +6
Using a long-standing conjecture from combinatorial group theory, we explore, from multiple perspectives, the challenges of finding rare instances carrying disproportionately high…