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arXiv · 2402.07709

A note on the capacities of Lagrangian $p$-sum

Filip Broćić
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Abstract

In this short note, we construct an explicit embedding of the rescaling of the $p$-sum $K\oplus_p K^{\circ}$ of the centrally symmetric convex domain $K$ and its polar $K^{\circ}$ to the product $K \times K^{\circ}$. The rescaling constant is sharp in some cases. Additionally, we comment on the strong Viterbo conjecture for $K\oplus_p K^{\circ}$.

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Filip Broćić. 2024-02-12. A note on the capacities of Lagrangian $p$-sum. https://doi.org/10.1007/s40316-024-00235-6

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