17 citations · 51 across the 8 of their papers we have counts for
8 papers
Vafa-Witten invariants from wall-crossing for framed sheaves
Noah Arbesfeld, Martijn Kool, Ties Laarakker
We consider the refined Vafa-Witten partition function of a smooth projective surface with non-zero holomorphic 2-form. This partition function has a vertical cont…
The geometry of Nekrasov's gauge origami theory
Noah Arbesfeld, Martijn Kool, Woonam Lim
Nekrasov's gauge origami theory provides a (complex) 4-dimensional generalization of the ADHM quiver and its moduli spaces of representations. We describe the origami moduli space…
K-Theoretic Descendent Series for Hilbert Schemes of Points on Surfaces
Noah Arbesfeld
We study the holomorphic Euler characteristics of tautological sheaves on Hilbert schemes of points on surfaces. In particular, we establish the rationality of K-theoretic descende…
The virtual K-theory of Quot schemes of surfaces
Noah Arbesfeld, Drew Johnson, Woonam Lim +2
We study virtual invariants of Quot schemes parametrizing quotients of dimension at most 1 of the trivial sheaf of rank N on nonsingular projective surfaces. We conjecture that the…
K-theoretic Donaldson-Thomas theory and the Hilbert scheme of points on a surface
Noah Arbesfeld
Integrals of characteristic classes of tautological sheaves on the Hilbert scheme of points on a surface frequently arise in enumerative problems. We use the K-theoretic Donaldson-…
On a lower central series filtration of the Grothendieck-Teichmüller Lie algebra grt_1
Noah Arbesfeld, Benjamin Enriquez
The Grothendieck-Teichmüller Lie algebra is a Lie subalgebra of a Lie algebra of derivations of the free Lie algebra in two generators. We show that the lower central series of the…
A presentation of the deformed W_{1+\infty} algebra
Noah Arbesfeld, Olivier Schiffmann
We provide a generators and relation description of the deformed W_{1+\infty}-algebra introduced in previous joint work of E. Vasserot and the second author. This gives a presentat…
New results on the lower central series quotients of a free associative algebra
Noah Arbesfeld, David Jordan
We continue the study of the lower central series and its associated graded components for a free associative algebra with n generators, as initiated by B. Feigin and B. Shoikhet.…