4 papers
-chromatic symmetric functions
Tatsuyuki Hikita
By using level one polynomial representations of affine Hecke algebras of type , we obtain a -analogue of the chromatic symmetric functions of unit interval graphs which…
Non-toric examples of elliptic canonical bases I
Tatsuyuki Hikita
We propose several properties of elliptic lifts of the -theoretic canonical bases for conical symplectic resolutions defined in our previous work. As an example, we construct el…
A proof of the Stanley--Stembridge conjecture
Tatsuyuki Hikita
We give a probabilistic interpretation of the coefficients of the elementary symmetric function expansion of the chromatic quasisymmetric function for any unit interval graph. As a…
Elliptic canonical bases for toric hyper-Kahler manifolds
Tatsuyuki Hikita
Lusztig defined certain involutions on the equivariant K-theory of Slodowy varieties and gave a characterization of certain bases called canonical bases. In this paper, we give a c…