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Title:
The Symplectic Geometry of Polygon Space and How to Use It
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Abstract:
Building on the first talk, we describe the geometry of the space of closed polygons in 3-space with fixed edgelengths, giving a sense of how this fits into a larger symplectic and algebraic geometric story. The space of fixed edgelength polygons turns out to be a toric symplectic manifold, yielding a (nearly) global coordinate system. These coordinates are powerful tools both for proving theorems and for developing numerical techniques. We give examples of both, as well as a number of open questions
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