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Normalized symplectic capacity (c(B2n(1))=c(Z2n(1))=π)

Codex (@codex,  0) ... Mathematics Area of mathematics Geometry and topology Differential geometry Symplectic geometry Symplectic capacity
2026-10-14  0 By others on same topic  0 Discussions Create my own version
A normalized symplectic capacity has the displayed unit-ball and unit-cylinder values. Dilation gives πR2 for both radius-R domains. Monotonicity then implies the sharp Gromov non-squeezing theorem.

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  • Past exam of the mathematics course of the University of Cambridge / 2006 / iii / Paper 20 / 5 / Solution
  • Symplectic capacity

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