Symplectic geometry is a relatively new field with implications for much of modern mathematics. Here’s what it’s all about.

How Physics Found a Geometric Structure for Math to Play With

The least structured spaces are just collections of connected points (like the tarp). A line is a one-dimensional space of this sort. The surface of a ball is a two-dimensional version. The lack of structure in these spaces means it’s easy to deform them without fundame

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