81 citations · 511 across the 27 of their papers we have counts for
7 papers · 1 filter
Torus knots and generalized Schröder paths
Marko Stošić, Piotr Sułkowski
We relate invariants of torus knots to the counts of a class of lattice paths, which we call generalized Schröder paths. We determine generating functions of such paths, located in…
Branches, quivers, and ideals for knot complements
Tobias Ekholm, Angus Gruen, Sergei Gukov +4
We generalize the invariant, i.e. for the complement of a knot in the 3-sphere, the knots-quivers correspondence, and -polynomials of knots, and find sev…
Knots-quivers correspondence
Piotr Kucharski, Markus Reineke, Marko Stosic +1
We introduce and explore the relation between knot invariants and quiver representation theory, which follows from the identification of quiver quantum mechanics in D-brane systems…
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…
Sequencing BPS Spectra
Sergei Gukov, Satoshi Nawata, Ingmar Saberi +2
This paper provides both a detailed study of color-dependence of link homologies, as realized in physics as certain spaces of BPS states, and a broad study of the behavior of BPS s…
3d analogs of Argyres-Douglas theories and knot homologies
Hiroyuki Fuji, Sergei Gukov, Marko Stosic +1
We study singularities of algebraic curves associated with 3d N=2 theories that have at least one global flavor symmetry. Of particular interest is a class of theories T_K labeled…
Homological algebra of knots and BPS states
Sergei Gukov, Marko Stosic
It is known that knot homologies admit a physical description as spaces of open BPS states. We study operators and algebras acting on these spaces. This leads to a very rich story,…