32 citations · 55 across the 11 of their papers we have counts for
11 papers · 1 filter
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…
Quantum Lefschetz property for genus two stable quasimap invariants
Sanghyeon Lee, Mu-Lin Li, Jeongseok Oh
By the reduced component in a moduli space of stable quasimaps to n-dimensional projective space we mean the closure of the locus in which the domain curves are smooth. As in the m…
Virtual cycles on projective completions and quantum Lefschetz formula
Jeongseok Oh
For a compact quasi-smooth derived scheme M with (-1)-shifted cotangent bundle N, there are at least two ways to localise the virtual cycle of N to M via torus and cosection locali…
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…
Algebraic reduced genus one Gromov-Witten invariants for complete intersections in projective spaces, Part 2
Sanghyeon Lee, Jeongseok Oh
In our previous work, we provided an algebraic proof of the Zinger's comparison formula between genus one Gromov-Witten invariants and reduced invariants when the target space is a…
Localization by 2-periodic complexes and virtual structure sheaves
Jeongseok Oh, Bhamidi Sreedhar
B. Kim and the first author proved a result comparing the virtual fundamental classes of the moduli spaces of stable quasimaps and stable LG-quasimaps by studying localized Chern c…
Algebraic reduced genus one Gromov-Witten invariants for complete intersections in projective spaces
Sanghyeon Lee, Jeongseok Oh
A. Zinger defined reduced Gromov-Witten (GW) invariants and proved a comparison theorem of standard and reduced genus one GW invariants for every symplectic manifold (with all dime…
Multiplicative property of localized Chern characters for 2-periodic complexes
Jeongseok Oh
We prove the multiplicative property of localized Chern characters. As a direct consequence, a localized Chern character gives rise to a ring homomorphism from the K-group of perio…
Localized Chern Characters for 2-periodic complexes
Bumsig Kim, Jeongseok Oh
For a two-periodic complex of vector bundles, Polishchuk and Vaintrob have constructed its localized Chern character. We explore some basic properties of this localized Chern chara…
Quasimaps to GIT fiber bundles and applications
Jeongseok Oh
Brown proved that the I-function of a toric fibration lies on the overruled Lagrangian cone of its genus zero Gromov-Witten theory, introduced by Coates and Givental. In this paper…
Residue mirror symmetry for Grassmannians
Bumsig Kim, Jeongseok Oh, Kazushi Ueda +1
Motivated by recent works on localizations in A-twisted gauged linear sigma models, we discuss a generalization of toric residue mirror symmetry to complete intersections in Grassm…