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math.AG2026
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…
math.AG2026
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…
math.AG2020
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…