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- W2000235099 abstract "As an explicit example of an A∞-structure associated with geometry, we construct explicitly an A∞-structure for a Fukaya category of finitely many lines (Lagrangians) in , i.e. we also define nontransversalA∞-products. The A∞category is constructed so that it is A∞-homotopy equivalent to a differential graded category of DeRham type. This construction is motivated by homological mirror symmetry of (two-)tori, where is the covering space of a two-torus. The strategy is based on an algebraic reformulation of Morse homotopy theory through homological perturbation theory as discussed by Kontsevich and Soibelman [23]." @default.
- W2000235099 created "2016-06-24" @default.
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- W2000235099 date "2009-07-01" @default.
- W2000235099 modified "2023-10-16" @default.
- W2000235099 title "An A -Structure for Lines in a Plane" @default.
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- W2000235099 doi "https://doi.org/10.1093/imrn/rnp074" @default.
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