5 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…
Virtual cycles on projective completions and quantum Lefschetz formula
Jeongseok Oh
For a compact quasi-smooth derived scheme M with (-1)-shifted cotangent bundle N, there are at least two ways to localise the virtual cycle of N to M via torus and cosection locali…
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…
Localization by 2-periodic complexes and virtual structure sheaves
Jeongseok Oh, Bhamidi Sreedhar
B. Kim and the first author proved a result comparing the virtual fundamental classes of the moduli spaces of stable quasimaps and stable LG-quasimaps by studying localized Chern c…
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…