35 citations · 66 across the 12 of their papers we have counts for
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Gromov-Witten invariants of Calabi-Yau fibrations
Hyenho Lho
We study the quasimap invariants of elliptic and K3 fibrations. Oberdieck and Pixton conjectured that the Gromov-Witten potentials of elliptic fibrations are quasi-modular forms. A…
Equivariant holomorphic anomaly equation
Hyenho Lho
In [16] the fundamental relationship between stable quotient invariants and the B-model for local P2 in all genera was studied under some specialization of equivariant variables. W…
Note on equivariant -function of local
Hyenho Lho
Several properties of a hyepergeometric series related to Gromov-Witten theory of some Calabi-Yau geometries was studied in [8]. These properties play basic role in the study of hi…
Gromov-Witten invariants of Calabi-Yau manifolds with two Kähler parameters
Hyenho Lho
We study the Gromov-Witten theory of and some Calabi-Yau hypersurface in toric variety. We give a direct geometric proof of the holomorphic ano…
Crepant resolution and the holomorphic anomaly equation for C^3/Z_3
Hyenho Lho, Rahul Pandharipande
We study the orbifold Gromov-Witten theory of the quotient C^3/Z_3 in all genera. Our first result is a proof of the holomorphic anomaly equations in the precise form predicted by…
The degeneration formula for stable log maps
Bumsig Kim, Hyenho Lho, Helge Ruddat
We give a short direct proof for the degeneration formula of Gromov-Witten invariants including its cycle version for degenerations with smooth singular locus in the setting of min…
Holomorphic anomaly equations for the formal quintic
Hyenho Lho, Rahul Pandharipande
We define a formal Gromov-Witten theory of the quintic 3-fold via localization on CP4. Our main result is a direct geometric proof of holomorphic anomaly equations for the formal q…
Crepant resolution conjecture for
Hyenho Lho
We study the relationship between Gromov-Witten invariants of local and Gromov-witten invariants of for all genera. We state the crepan…
Vanishing of Gromov-Witten invariants of product of P1
Hyenho Lho
We prove some vanishing conditions on the Gromov-Witten invariants of product of P1.
Stable quotients and the holomorphic anomaly equation
Hyenho Lho, Rahul Pandharipande
We study the fundamental relationship between stable quotient invariants and the B-model for local CP2 in all genera. Our main result is a direct geometric proof of the holomorphic…
Mirror theorem for elliptic quasimap invariants of local Calabi-Yau varieties
Hyenho Lho, Jeongseok Oh
The elliptic quasimap potential function is explicitly calculated for Calabi-Yau complete intersections in projective spaces by Kim and Lho. We extend this result to local Calabi-Y…
Mirror Theorem for Elliptic Quasimap Invariants
Bumsig Kim, Hyenho Lho
We propose and prove a mirror theorem for the elliptic quasimap invariants for smooth Calabi-Yau complete intersections in projective spaces. The theorem combined with the wall-cro…
Comparison of two desingularization of the Kontsevich's moduli space of elliptic stable maps
Hyenho Lho
It is known that the main component of the Kontsevich's moduli space of elliptic stable maps is singular. There are two different desingularizations. One is Vakil-Zinger's desingul…