On Symplectic Capacities and Volume Radius

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dc.creatorArtstein-Avidan, Shiri
dc.creatorOstrover, Yaron
dc.date2006-03-16
dc.date2006-04-19
dc.date.accessioned2026-07-07T07:07:00Z
dc.date.available2026-07-07T07:07:00Z
dc.descriptionIn this work we discuss a conjecture of Viterbo relating the symplectic capacity of a convex body and its volume. The conjecture states that among all 2n-dimensional convex bodies with a given volume the euclidean ball has maximal symplectic capacity. We present a proof of this fact up to a logarithmic factor in the dimension, and many classes of bodies for which this holds up to a universal constant.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0603411
dc.identifierhttp://arxiv.org/abs/math/0603411
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110233
dc.subjectSymplectic Geometry
dc.subject53D05, 53C15, 46B07, 52A20, 46B20
dc.titleOn Symplectic Capacities and Volume Radius
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