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• W2150829394 abstract "This is the first of two papers which construct a purely algebraic counterpart to the theory of Gromov–Witten invariants (at all genera). These Gromov–Witten type invariants depend on a Calabi–Yau A∞ category, which plays the role of the target in ordinary Gromov–Witten theory. When we use an appropriate A∞ version of the derived category of coherent sheaves on a Calabi–Yau variety, this constructs the B model at all genera. When the Fukaya category of a compact symplectic manifold X is used, it is shown, under certain assumptions, that the usual Gromov–Witten invariants are recovered. The assumptions are that open-closed Gromov–Witten theory can be constructed for X, and that the natural map from the Hochschild homology of the Fukaya category of X to the ordinary homology of X is an isomorphism." @default.
• W2150829394 created "2016-06-24" @default.
• W2150829394 creator A5007134498 @default.
• W2150829394 date "2007-03-01" @default.
• W2150829394 modified "2023-10-13" @default.
• W2150829394 title "Topological conformal field theories and Calabi–Yau categories" @default.
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• W2150829394 doi "https://doi.org/10.1016/j.aim.2006.06.004" @default.
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