A Symplectic Prolegomenon

نویسنده

  • IVAN SMITH
چکیده

A symplectic manifold gives rise to a triangulated A∞-category, the derived Fukaya category, which encodes information on Lagrangian submanifolds and dynamics as probed by Floer cohomology. This survey aims to give some insight into what the Fukaya category is, where it comes from, and what symplectic topologists want to do with it. ...everything you wanted to say required a context. If you gave the full context, people thought you a rambling old fool. If you didn’t give the context, people thought you a laconic old fool. Julian Barnes, Staring at the Sun

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تاریخ انتشار 2015