36 citations · 42 across the 6 of their papers we have counts for
6 papers
Quiver Hecke algebras from Floer homology in Couloumb branches
Mina Aganagic, Ivan Danilenko, Yixuan Li +2
Homology theories categorifying quantum group link invariants are known to be governed by the representation theory of quiver Hecke algebras, also called KLRW algebras. Here we sho…
Quantum Differential Equation for Slices of the Affine Grassmannian
Ivan Danilenko
The affine Grassmannian associated to a reductive group is an affine analogue of the usual flag varieties. It is a rich source of Poisson varieties and their symplecti…
Stable envelopes for slices of the affine Grassmannian
Ivan Danilenko
The affine Grassmannian associated to a reductive group is an affine analogue of the usual flag varieties. It is a rich source of Poisson varieties and their symplecti…
DAHA approach to iterated torus links
Ivan Cherednik, Ivan Danilenko
We extend the construction of the DAHA-Jones polynomials for any reduced root systems and DAHA-superpolynomials in type A from the iterated torus knots (our previous paper) to link…
DAHA and iterated torus knots
Ivan Cherednik, Ivan Danilenko
The theory of DAHA-Jones polynomials is extended from torus knots to their arbitrary iterations (for any reduced root systems and weights), which incudes the polynomiality, duality…
Khovanov-Rozansky Homologies and Cabling
Ivan Danilenko
In the cabling procedure for HOMFLY polynomials colored HOMFLY polynomials of a knot are obtained from ordinary HOMFLY of the cabled knot with extra twists added. Thus colored poly…