3 papers
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…
math.AG2020
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…
math.AG2019
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…