Abstract
We use the quilt formalism of Mau, Wehrheim, and Woodward to give a sufficient condition for a finite collection of Lagrangian submanifolds to split-generate the Fukaya category, and deduce homological mirror symmetry for the standard -torus. As an application, we study Lagrangian genus surfaces of Maslov class zero, deriving numerical restrictions on the intersections of with linear Lagrangian -tori in
Citation
Mohammed Abouzaid. Ivan Smith. "Homological mirror symmetry for the 4-torus." Duke Math. J. 152 (3) 373 - 440, 15 April 2010. https://doi.org/10.1215/00127094-2010-015
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