6 papers
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…
Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over V_5 and V_22
Kiryong Chung, Sanghyeon Lee, Joonyeong Won
We compute Gromov-Witten (GW) and Donaldson-Thomas (DT) invariants (and also descendant invariants) for local CY 4-folds over Fano 3-folds, V_5 and V_22 up to degree 3. We use toru…
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…
Intersection theories of coherent sheaf stacks and virtual pull-backs via semi-perfect obstruction theories
Sanghyeon Lee
In this paper, we construct proper pushforwards and flat pullbacks in Chow groups of coherent sheaf stacks over a Deligne-Mumford(DM) stack. When there is a relative semi-perfect o…
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…
Positivity of line bundles on general blow-ups of abelian surfaces
Sanghyeon Lee, Jaesun Shin
Let be a polarized abelian surface, and let be a line bundle on , where $π:{\rm Bl}_{r}(S) \rightarrow S…