Multi angle From categories to curve-counts in mirror symmetry
Auteurs : Perutz, Tim (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : I will report on aspects of work with Sheridan and Ganatra in which we show how homo- logical mirror symmetry for Calabi-Yau manifolds implies equality of Yukawa couplings on the A- and B-sides. On the A-side, these couplings are generating functions for genus-zero GW invariants. On the B-side, one has a degenerating family of CY manifolds, and the couplings are fiberwise integrals involving a holomorphic volume form. We show that the Fukaya category implicitly "knows" the correct normalization of this volume form, as well as the mirror map.Codes MSC :
53D37 14J33 - Mirror symmetry