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Splitting of the virtual class for genus one stable quasimaps
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作者 Sanghyeon Lee Mu-Lin Li 《Science China Mathematics》 SCIE CSCD 2024年第12期2681-2700,共20页
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
关键词 stable quasimaps virtual cycles moduli stack deformation theory
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Low degree GW invariants of surfaces Ⅱ
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作者 KIEM Young-Hoon LI Jun 《Science China Mathematics》 SCIE 2011年第8期1679-1706,共28页
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
关键词 Gromov-Witten invariant cosection degeneration formula localized virtual cycle
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A Wall-Crossing Formula and the Invariance of GLSM Correlation Functions
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作者 Gang Tian Guangbo Xu 《Peking Mathematical Journal》 2020年第2期235-291,共57页
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.
关键词 Gauged linear sigma model(GLSM) Wall-crossing virtual cycle
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