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].
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
