11 papers · 1 filter
Infinitesimal automorphisms and obstruction theory on the moduli of -valued -Higgs bundles
Sanghyeon Lee, Sang-Bum Yoo
For an arbitrary reductive group , we compute the infinitesimal automorphisms of -valued principal -Higgs bundles over a compact Kähler manifold , extending known resul…
Conics in quintic del Pezzo varieties
Kiryong Chung, Sanghyeon Lee
The smooth quintic del Pezzo variety is well-known to be obtained as a linear sections of the Grassmannian variety under the Plücker embedding into $\mathbb{…
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…
Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles
Insong Choe, Kiryong Chung, Sanghyeon Lee
Let be an algebraic curve of genus and a line bundle over . Let and be the moduli spaces of -valued symplectic and ort…