Geodesic
The Abelian/Nonabelian Correspondence and Gromov–Witten Invariants of Blow-Ups
Forum of Mathematics, Sigma, Tome 10 (2022)

Voir la notice de l'article provenant de la source Cambridge University Press

We prove the abelian/nonabelian correspondence with bundles for target spaces that are partial flag bundles, combining and generalising results by Ciocan-Fontanine–Kim–Sabbah, Brown, and Oh. From this, we deduce how genus-zero Gromov–Witten invariants change when a smooth projective variety X is blown up in a complete intersection defined by convex line bundles. In the case where the blow-up is Fano, our result gives closed-form expressions for certain genus-zero invariants of the blow-up in terms of invariants of X. We also give a reformulation of the abelian/nonabelian Correspondence in terms of Givental’s formalism, which may be of independent interest. 
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Tom Coates; Wendelin Lutz; Qaasim Shafi. The Abelian/Nonabelian Correspondence and Gromov–Witten Invariants of Blow-Ups. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.46

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