18 citations · 36 across the 5 of their papers we have counts for
5 papers
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…
Rationality of descendent series for Hilbert and Quot schemes of surfaces
Drew Johnson, Dragos Oprea, Rahul Pandharipande
Quot schemes of quotients of a trivial bundle of arbitrary rank on a nonsingular projective surface X carry perfect obstruction theories and virtual fundamental classes whenever th…
Representations in Strange Duality: Hilbert Schemes paired with higher rank spaces
Drew Johnson
We examine a sequence of examples of pairs of moduli spaces of sheaves on where Le Potier's strange duality is expected to hold. One of the moduli spaces in these pai…
Universal Series for Hilbert Schemes and Strange Duality
Drew Johnson
We show how the "finite Quot scheme method" applied to Le Potier's strange duality on del Pezzo surfaces leads to conjectures (valid for all smooth complex projective surfaces) rel…
Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces
Aaron Bertram, Thomas Goller, Drew Johnson
We study Le Potier's strange duality on del Pezzo surfaces using quot schemes to construct independent sections of theta line bundles on moduli spaces of sheaves, one of which is t…