Mirror symmetric Gamma conjecture for Fano and Calabi-Yau manifolds

Autor:	Iritani, Hiroshi
Rok vydání:	2023
Předmět:	Mathematics - Algebraic Geometry High Energy Physics - Theory Mathematics - Symplectic Geometry
Druh dokumentu:	Working Paper
Popis:	The mirror symmetric Gamma conjecture roughly speaking says that the Gamma class of a manifold determines the asymptotics of (exponential) periods of the mirror. We recast the method in [Iri11] in a more general context and show that the mirror symmetric Gamma conjecture for a Fano manifold F implies, via Laplace transformation, that for the total space K_F of the canonical bundle or for anticanonical sections in F. More generally, we discuss the mirror symmetric Gamma conjecture for the total space of a sum of anti-nef line bundles over F or for nef complete intersections in F. Comment: 16 pages, no figure, submitted to the proceedings of the online Nottingham algebraic geometry seminar
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.15940 Zobrazit plný text záznamu View this record from Arxiv