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math.AT2021
The Borsuk-Ulam theorem for planar polygon spaces
Navnath Daundkar, Priyavrat Deshpande, Shuchita Goyal +1
The moduli space of planar polygons with generic side lengths is a closed, smooth manifold. Mapping a polygon to its reflected image across the -axis defines a fixed-point-free…
math.CO2021
The moment polytope of the abelian polygon space
Navnath Daundkar, Priyavrat Deshpande
The moduli space of chains in the plane with generic side lengths that terminate on a fixed line is a smooth, closed manifold of dimension . This manifold is also equipped…