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- W3156992247 abstract "Let $Msubsetmathbb{C}^{n+1}$ be a smooth affine hypersurface defined by the equation $xy+p(z_1,cdots,z_{n-1})=1$, where $p$ is a Brieskorn-Pham polynomial and $ngeq2$. We prove that if $Lsubset M$ is an orientable exact Lagrangian submanifold, then $L$ does not admit a Riemannian metric with non-positive sectional curvature. The key point of the proof is to establish a version of homological mirror symmetry for the wrapped Fukaya category of $M$, from which the finite-dimensionality of the symplectic cohomology group $mathit{SH}^0(M)$ follows by a Hochschild cohomology computation." @default.
- W3156992247 created "2021-04-26" @default.
- W3156992247 creator A5083532124 @default.
- W3156992247 date "2021-04-20" @default.
- W3156992247 modified "2023-09-25" @default.
- W3156992247 title "Nonexistence of exact Lagrangian tori in affine conic bundles over $mathbb{C}^n$" @default.
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- W3156992247 doi "https://doi.org/10.48550/arxiv.2104.10050" @default.
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