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- W4309137002 abstract "We compute the relative symplectic cohomology sheaf in degree $0$ on the bases of nodal Lagrangian torus fibrations on four dimensional symplectic cluster manifolds. We show that it is the pushforward of the structure sheaf of a certain rigid analytic manifold under a non-archimedean torus fibration. The rigid analytic manifold is constructed in a canonical way from the relative SH sheaf and is referred as the emph{closed string mirror}. The construction relies on computing relative SH for local models by applying general axiomatic properties rather than ad hoc analysis of holomorphic curves. These axiomatic properties include previously established ones such as the Mayer-Vietoris property and locality for complete embeddings; and new ones such as the Hartogs property and the holomorphic volume form preservation property of wall crossing in relative $SH$." @default.
- W4309137002 created "2022-11-23" @default.
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- W4309137002 date "2022-11-14" @default.
- W4309137002 modified "2023-10-14" @default.
- W4309137002 title "Closed string mirrors of symplectic cluster manifolds" @default.
- W4309137002 doi "https://doi.org/10.48550/arxiv.2211.07523" @default.
- W4309137002 hasPublicationYear "2022" @default.
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