Corpus ID: 216562686

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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