Sanghyeon Lee

activity

20152026

most citedMinimal rational curves on the moduli spaces of symplectic and orthogonal bundles

2 citations · 3 across the 10 of their papers we have counts for

collaborators

13 papers

math.AG2026

Two-Dimensional Torus Action on the Quadric Threefold and GW-DT-GV Correspondence

Kiryong Chung, Sanghyeon Lee

We compute Gromov--Witten (GW) and Donaldson-Thomas (DT) invariants (including descendant invariants) for local CY $4$ -folds over a smooth quadric threefold $Q$ , up to degree $4$ .…

math.AG2026

Infinitesimal automorphisms and obstruction theory on the moduli of $L$ -valued $G$ -Higgs bundles

Sanghyeon Lee, Sang-Bum Yoo

For an arbitrary reductive group $G$ , we compute the infinitesimal automorphisms of $L$ -valued principal $G$ -Higgs bundles over a compact Kähler manifold $X$ , extending known resul…

math.AG2023

Conics in quintic del Pezzo varieties

Kiryong Chung, Sanghyeon Lee

The smooth quintic del Pezzo variety $Y$ is well-known to be obtained as a linear sections of the Grassmannian variety $Gr (2, 5)$ under the Plücker embedding into $\mathbb{…

math.AG2022

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…

math.AG2021

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…

math.AG2020

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…

math.AG2020★ 2 cited

Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles

Insong Choe, Kiryong Chung, Sanghyeon Lee

Let $C$ be an algebraic curve of genus $g$ and $L$ a line bundle over $C$ . Let $MS_{C} (n, L)$ and $M O_{C} (n, L)$ be the moduli spaces of $L$ -valued symplectic and ort…

math.AG2019★ 1 cited

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…

math.AG2019

Splitting of the virtual class for genus one stable quasimaps

Sanghyeon Lee, Mu-Lin Li

We analyse the local structure of moduli space of genus one stable quasimaps. Combining it with the p-fields theory developed in \cite{L}, we prove the splitting formula for the vi…

math.AG2018

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…

math.AG2017

Positivity of line bundles on general blow-ups of abelian surfaces

Sanghyeon Lee, Jaesun Shin

Let $(S, L_{S})$ be a polarized abelian surface, and let $M = c \cdot π^{*} L_{S} - α \cdot \sum_{i = 1}^{r} E_{i}$ be a line bundle on $Bl_{r} (S)$ , where $π:{\rm Bl}_{r}(S) \rightarrow S…

math.AG2016

Geometry of moduli spaces of rational curves in linear sections of Grassmannian $G r (2, 5)$

Kiryong Chung, Jaehyun Hong, Sanghyeon Lee

We prove that the moduli spaces of rational curves of degree at most $3$ in linear sections of the Grassmannian $G r (2, 5)$ are all rational varieties. We also study their compactifi…

math.AG2015

Stable maps of genus zero in the space of stable vector bundles on a curve

Kiryong Chung, Sanghyeon Lee

Let $X$ be a smooth projective curve with genus $g \geq 3$ . Let $N$ be the moduli space of stable rank two vector bundles on $X$ with a fixed determinant $\mathcal{O}_X(-x)…

Two-Dimensional Torus Action on the Quadric Threefold and GW-DT-GV Correspondence

Infinitesimal automorphisms and obstruction theory on the moduli of L-valued G-Higgs bundles

Conics in quintic del Pezzo varieties

Quantum Lefschetz property for genus two stable quasimap invariants

Correspondence of Donaldson-Thomas and Gopakumar-Vafa invariants on local Calabi-Yau 4-folds over V_5 and V_22

Algebraic reduced genus one Gromov-Witten invariants for complete intersections in projective spaces, Part 2

Minimal rational curves on the moduli spaces of symplectic and orthogonal bundles

Intersection theories of coherent sheaf stacks and virtual pull-backs via semi-perfect obstruction theories

Splitting of the virtual class for genus one stable quasimaps

Algebraic reduced genus one Gromov-Witten invariants for complete intersections in projective spaces

Positivity of line bundles on general blow-ups of abelian surfaces

Geometry of moduli spaces of rational curves in linear sections of Grassmannian Gr(2,5)

Stable maps of genus zero in the space of stable vector bundles on a curve

Infinitesimal automorphisms and obstruction theory on the moduli of $L$ -valued $G$ -Higgs bundles

Geometry of moduli spaces of rational curves in linear sections of Grassmannian $G r (2, 5)$