Geodesic
Virasoro Constraints for Toric Bundles
Forum of Mathematics, Pi, Tome 12 (2024)

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

We show that the Virasoro conjecture in Gromov–Witten theory holds for the the total space of a toric bundle $E \to B$ if and only if it holds for the base B. The main steps are: (i) We establish a localization formula that expresses Gromov–Witten invariants of E, equivariant with respect to the fiberwise torus action in terms of genus-zero invariants of the toric fiber and all-genus invariants of B, and (ii) we pass to the nonequivariant limit in this formula, using Brown’s mirror theorem for toric bundles. 
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Tom Coates; Alexander Givental; Hsian-Hua Tseng. Virasoro Constraints for Toric Bundles. Forum of Mathematics, Pi, Tome 12 (2024). doi: 10.1017/fmp.2024.2

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