# Sharp Ellipsoid Embeddings and Toric Mutations

@article{Casals2020SharpEE, title={Sharp Ellipsoid Embeddings and Toric Mutations}, author={Roger Casals and R. Vianna}, journal={arXiv: Symplectic Geometry}, year={2020} }

This article introduces a new method to construct volume-filling symplectic embeddings of 4-dimensional ellipsoids by employing polytope mutations in toric and almost-toric varieties. The construction uniformly recovers the sharp sequences for the Fibonacci Staircase of McDuff-Schlenk, the Pell Staircase of Frenkel-Muller and the Cristofaro-Gardiner-Kleinman's Staircase, and adds new infinite sequences of sharp ellipsoid embeddings. In addition, we initiate the study of symplectic tropical… Expand

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