360 citations · 1.6k across the 47 of their papers we have counts for
48 papers
Complex Kuranishi structures and counting sheaves on Calabi-Yau 4-folds, II
Jeongseok Oh, Richard P. Thomas
We develop a theory of complex Kuranishi structures on projective schemes. These are sufficiently rigid to be equivalent to weak perfect obstruction theories, but sufficiently flex…
Rank DT theory from rank
Soheyla Feyzbakhsh, Richard P. Thomas
Fix a Calabi-Yau 3-fold satisfying the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as the quintic 3-fold. We express Joyce's generalised DT invariants counting Gies…
Counting sheaves on Calabi-Yau 4-folds, I
Jeongseok Oh, Richard P. Thomas
Borisov-Joyce constructed a real virtual cycle on compact moduli spaces of stable sheaves on Calabi-Yau 4-folds, using derived differential geometry. We construct an algebraic virt…
Curve counting and S-duality
Soheyla Feyzbakhsh, Richard P. Thomas
We work on a projective threefold which satisfies the Bogomolov-Gieseker conjecture of Bayer-Macrì-Toda, such as or the quintic threefold. We prove certain moduli…
Degeneracy loci, virtual cycles and nested Hilbert schemes II
Amin Gholampour, Richard P. Thomas
We express nested Hilbert schemes of points and curves on a smooth projective surface as "virtual resolutions" of degeneracy loci of maps of vector bundles on smooth ambient spaces…
A K-theoretic Fulton class
Richard P. Thomas
Fulton defined classes in the Chow group of a quasi-projective scheme which reduce to its Chern classes when is smooth. When has a perfect obstruction theory, Siebert g…