Homological mirror symmetry for the 4-torus
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Publication:971949
DOI10.1215/00127094-2010-015zbMATH Open1195.14056arXiv0903.3065OpenAlexW2963442629MaRDI QIDQ971949
Author name not available (Why is that?)
Publication date: 17 May 2010
Published in: (Search for Journal in Brave)
Abstract: We use the quilt formalism of Mau-Wehrheim-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 4-torus. As an application, we study Lagrangian genus two surfaces of Maslov class zero, deriving numerical restrictions on the intersections of such a surface with linear Lagrangian 2-tori in in the 4-torus.
Full work available at URL: https://arxiv.org/abs/0903.3065
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