44 citations · 71 across the 13 of their papers we have counts for
10 papers · 1 filter
GKM spaces, and the signed positivity of the nabla operator
Erik Carlsson, Anton Mellit
We show that the Frobenius character of the equivariant Borel-Moore homology of a certain positive -version of the unramified affine Springer fiber studied by Goreski,…
AGT and the Segal-Sugawara construction
Erik Carlsson
The conjectures of Alday, Gaiotto and Tachikawa and its generalizations have been mathematically formulated as the existence of an action of a -algebra on the cohomology or -…
A proof of the shuffle conjecture
Erik Carlsson, Anton Mellit
We present a proof of the compositional shuffle conjecture, which generalizes the famous shuffle conjecture for the character of the diagonal coinvariant algebra. We first formulat…
A Littlewood-Richardson rule for the MacDonald inner product and bimodules over wreath products
Erik Carlsson, Anthony M. Licata
We prove a Littlewood-Richardson type formula for , the pairing of two skew Schur functions in the MacDonald inner product at for positive inte…
Five dimensional gauge theories and vertex operators
Erik Carlsson, Nikita Nekrasov, Andrei Okounkov
We study supersymmetric gauge theories in five dimensions, using their relation to the K-theory of the moduli spaces of torsion free sheaves. In the spirit of the BPS/CFT correspon…
Localization and a generalization of MacDonald's inner product
Erik Carlsson
We find a limit formula for a generalization of MacDonald's inner product in finitely many variables, using equivariant localization on the Grassmannian variety, and the main lemma…