On weighted-blowup formulae of genus zero orbifold Gromov–Witten invariants

In this paper, we provide a new approach to prove some weighted-blowup formulae for genus zero orbifold Gromov–Witten invariants. As a consequence, we show the invariance of symplectically rational connectedness with respect to weighted-blowup along positive centers. Furthermore, we use this method...

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Bibliographic Details
Published inCompositio mathematica Vol. 159; no. 9; pp. 1833 - 1871
Main Authors Chen, Bohui, Du, Cheng-Yong
Format Journal Article
LanguageEnglish
Published London, UK London Mathematical Society 01.09.2023
Cambridge University Press
Subjects
Invariants
Localization
Gromov–Witten invariants
53D45
14N35
relative-orbifold correspondence
symplectic uniruledness
weighted-blowup formulae
symplectically rational connectedness
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Summary:In this paper, we provide a new approach to prove some weighted-blowup formulae for genus zero orbifold Gromov–Witten invariants. As a consequence, we show the invariance of symplectically rational connectedness with respect to weighted-blowup along positive centers. Furthermore, we use this method to give a new proof to the genus zero relative-orbifold correspondence of Gromov–Witten invariants.
ISSN:0010-437X
1570-5846
DOI:10.1112/S0010437X23007315