11 citations · 15 across the 5 of their papers we have counts for
6 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…
An algebro-geometric realization of the cohomology ring of Hilbert scheme of points in the affine plane
Tatsuyuki Hikita
We show that the cohomology ring of Hilbert scheme of -points in the affine plane is isomorphic to the coordinate ring of -fixed point scheme of the -th symme…
Affine Springer fibers of type A and combinatorics of diagonal coinvariants
Tatsuyuki Hikita
We calculate the Borel-Moore homology of affine Springer fibers of type associated to some regular semisimple nil elliptic elements. As a result, we obtain bigraded $\mf{S}_{n}…