13 citations · 13 across the 2 of their papers we have counts for
4 papers
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.
Hall-Littlewood polynomials and vector bundles on the Hilbert scheme
Erik Carlsson
Let be the bundle defined by applying a polynomial representation of to the tautological bundle on the Hilbert scheme of points in the complex plane. By a result of…
Vertex Operators and Moduli Spaces of Sheaves
Erik Carlsson
The Nekrasov partition function in supersymmetric quantum gauge theory is mathematically formulated as an equivariant integral over certain moduli spaces of sheaves on a complex su…
Symmetric Functions and Caps
Erik Carlsson
Given a finite subset S in F_p^d, let a(S) be the number of distinct r-tuples (x_1,...,x_r) in S such that x_1+...+x_r = 0. We consider the "moments" F(m,n) = sum_|S|=n a(S)^m. Spe…