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Showing 1 to 3 of 3 for “"Calabi-Yau structure"”.
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A Künneth theorem for the cyclic homology of A-infinity algebras
… degeneration property carries the structure of a polarized semi-infinite Hodge structure or the so-called EP-structure. Given two A-infinity algebras A and B with the above conditions, we construct a Künneth map from the tensor product of their cyclic homologies to the cyclic …
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Asymptotically cylindrical Calabi–Yau and special Lagrangian geometry
We study asymptotically cylindrical Calabi–Yau manifolds and their asymptotically cylindrical special Lagrangian submanifolds. As a prototype problem, we also consider an extension of Hodge theory to general asymptotically cylindrical manifolds. For our study of asymptotically cylindrical …
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Symplectic cohomology and duality for the wrapped Fukaya Category
… in a manner compatible with ring and module structures. This is a consequence of a more general duality for the wrapped Fukaya category, which should be thought of as a non-compact version of a Calabi-Yau structure. The new ingredients are: (1) Fourier-Mukai theory for W via a wrapped version …