We analyze the local structure of the moduli space of genus one stable quasimaps.Combining it with the p-fields theory developed by Chang and Li(2020),we prove the splitting formula for the virtual cycle of stable qua...We analyze the local structure of the moduli space of genus one stable quasimaps.Combining it with the p-fields theory developed by Chang and Li(2020),we prove the splitting formula for the virtual cycle of stable quasimaps to complete intersections in P~n.展开更多
We prove a conjectural formula of Maulik-Pandharipande on the degree one and two GW invariants of a surface with a smooth canonical divisor.We use the method of degeneration and the localized GW invariants introduced ...We prove a conjectural formula of Maulik-Pandharipande on the degree one and two GW invariants of a surface with a smooth canonical divisor.We use the method of degeneration and the localized GW invariants introduced by the authors.展开更多
In this paper,we prove a wall-crossing formula,a crucial ingredient needed to prove that the correlation function of gauged linear-model is independent of the choice of perturbations.
基金supported by Korea Institute for Advanced Study Individual Grant at Korea Institute for Advanced Study(Grant No.MG070902)National Key Research and Development Program of China(Grant No.2020YFA0713200)+1 种基金National Natural Science Foundation of China(Grant No.12071079)supported by the Start-up Fund of Hunan University。
文摘We analyze the local structure of the moduli space of genus one stable quasimaps.Combining it with the p-fields theory developed by Chang and Li(2020),we prove the splitting formula for the virtual cycle of stable quasimaps to complete intersections in P~n.
基金support from NRFsupported by an NSF granta DARPA grant
文摘We prove a conjectural formula of Maulik-Pandharipande on the degree one and two GW invariants of a surface with a smooth canonical divisor.We use the method of degeneration and the localized GW invariants introduced by the authors.
文摘In this paper,we prove a wall-crossing formula,a crucial ingredient needed to prove that the correlation function of gauged linear-model is independent of the choice of perturbations.