18 citations · 20 across the 5 of their papers we have counts for
7 papers
A whittled complex for the Khovanov homology of torus links
Carmen Caprau, Nicolle Gonzalez, Christine Ruey Shan Lee +1
We give an algorithm for reducing the number of generators of the Khovanov chain complex of the torus braid on strands by applying Bar-Natan…
The elliptic Hall algebra and the double Dyck path algebra
Nicolle Gonzalez, Eugene Gorsky, Jose Simental
We show that the positive half of the elliptic Hall algebra is embedded as a natural spherical subalgebra inside the double Dyck path algebra $\mathbb{B}_{q…
Extremal tensor products of Demazure crystals
Sami Assaf, Anne Dranowski, Nicolle Gonzalez
Demazure crystals are subcrystals of highest weight irreducible -crystals. In this article, we study tensor products of a larger class of subcrystals, called extremal…
Affine Demazure crystals for specialized nonsymmetric Macdonald polynomials
Sami Assaf, Nicolle Gonzalez
We give a crystal-theoretic proof that nonsymmetric Macdonald polynomials specialized to are affine Demazure characters. We explicitly construct an affine Demazure crystal on…
Demazure crystals for specialized nonsymmetric Macdonald polynomials
Sami Assaf, Nicolle Gonzalez
We give an explicit, nonnegative formula for the expansion of nonsymmetric Macdonald polynomials specialized at in terms of Demazure characters. Our formula results from cons…
Categorical Bernstein Operators and the Boson-Fermion Correspondence
Nicolle Gonzalez
We prove a conjecture of Cautis and Sussan providing a categorification of the Boson-Fermion correspondence as formulated by Frenkel and Kac. We lift the Bernstein operators to inf…