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Hybrid Gel

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We prove that every spherical object in the derived Fukaya category of a closed surface of genus at least $2$ whose Chern character represents a nonzero Hochschild homology class is quasi-isomorphic to a simple closed curve equipped with a rank $1$ local system. (The homological hypothesis is necessary. ) This largely answers a question of Haiden. Katzarkov and Kontsevich. https://classiquesupplyes.shop/product-category/hybrid-gel/
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