21 citations · 67 across the 14 of their papers we have counts for
11 papers · 1 filter
Representations on the cohomology of
Jinwon Choi, Young-Hoon Kiem, Donggun Lee
The moduli space of pointed stable curves of genus admits an action of the symmetric group by permuting the marked points. We provide a…
Sheaves of maximal intersection and multiplicities of stable log maps
Jinwon Choi, Michel van Garrel, Sheldon Katz +1
A great number of theoretical results are known about log Gromov-Witten invariants, but few calculations are worked out. In this paper we restrict to surfaces and to genus 0 stable…
Log BPS numbers of log Calabi-Yau surfaces
Jinwon Choi, Michel van Garrel, Sheldon Katz +1
Let be a log Calabi-Yau surface pair with a smooth divisor. We define new conjecturally integer-valued counts of -curves in . These log BPS numbers…
Local BPS Invariants: Enumerative Aspects and Wall-Crossing
Jinwon Choi, Michel van Garrel, Sheldon Katz +1
We study the BPS invariants for local del Pezzo surfaces, which can be obtained as the signed Euler characteristic of the moduli spaces of stable one-dimensional sheaves on the sur…
Moduli of sheaves supported on quartic space curves
Jinwon Choi, Kiryong Chung, Mario Maican
As a continuation of the work of Freiermuth and Trautmann, we study the geometry of the moduli space of stable sheaves on with Hilbert polynomial . The moduli…
The geometry of the moduli space of one-dimensional sheaves
Jinwon Choi, Kiryong Chung
Let be the moduli space of stable sheaves on with Hilbert polynomial . In this paper, we determine the effective and the nef cone of the space $…
Torus action on the moduli spaces of plane sheaves
Jinwon Choi, Mario Maican
We describe the torus fixed locus of the moduli space of stable sheaves with Hilbert polynomial on the projective plane. We determine the torus representation of the tangent…
Cohomology bounds for sheaves of dimension one
Jinwon Choi, Kiryong Chung
We find the sharp bounds on for one-dimensional semistable sheaves on a projective variety by using the spectrum of semistable sheaves. The result generalizes the…
Moduli Spaces of -stable Pairs and Wall-Crossing on
Jinwon Choi, Kiryong Chung
We study the wall-crossing of the moduli spaces of -stable pairs with linear Hilbert polynomial on the projective plane as we alter the…
Genus zero BPS invariants for local P^1
Jinwon Choi
We study the equivariant version of the genus zero BPS invariants of the total space of a rank 2 bundle on P^1 whose determinant is O(-2). We define the equivariant genus zero BPS…
A new method toward the Landau-Ginzburg/Calabi-Yau correspondence via quasi-maps
Jinwon Choi, Young-Hoon Kiem
The Landau-Ginzburg/Calabi-Yau correspondence claims that the Gromov-Witten invariant of the quintic Calabi-Yau 3-fold should be related to the Fan-Jarvis-Ruan-Witten invariant of…