44 citations · 71 across the 13 of their papers we have counts for
5 papers · 1 filter
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…
The Ring of Algebraic Functions on Persistence Bar Codes
Aaron Adcock, Erik Carlsson, Gunnar Carlsson
We study the ring of algebraic functions on the space of persistence barcodes, with applications to pattern recognition.
A projection formula for the ind-Grassmannian
Erik Carlsson
Let be the ind-Grassmannian of codimension subspaces of an infinite-dimensional torus representation. If $\cE$ is a bundle on , we expect that $\sum_j (-…