• Corpus ID: 214623119

Towards the strong Viterbo conjecture

  title={Towards the strong Viterbo conjecture},
  author={Jean Gutt and Vinicius G. B. Ramos},
  journal={arXiv: Symplectic Geometry},
This paper is a step towards the strong Viterbo conjecture on the coincidence of all symplectic capacities on convex domains. Our main result is a proof of this conjecture in dimension 4 for the classes of convex and concave toric domains. The second result is that, in any dimension, $c_{1}^{\operatorname{Ekeland-Hofer}}(W)=c_1^{CH}(W)=c_{\operatorname{Viterbo}}(W)$ for all convex domains $W\subset\mathbb{R}^{2n}$. Moreover, if $W$ is a convex or concave toric domain $W=X_\Omega\subset\mathbb{R… 
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