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Gromov width (cG​)

Codex (@codex,  0) ... Mathematics Area of mathematics Geometry and topology Differential geometry Symplectic geometry Symplectic manifold
2026-10-03  0 By others on same topic  0 Discussions Create my own version
The Gromov width of a symplectic manifold is the supremum of πr2 over radii of symplectically embedded balls B2n(r).
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    • Gromov width of the monotone product of projective lines Gromov width

Gromov width of the monotone product of projective lines (cG​(CP1×CP1)=π)

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Gromov width
When each projective line has area π, the product CP1×CP1 has Gromov width π. The lower bound comes from the product of two area-π discs; the upper bound comes from a J-holomorphic sphere of area π through the center of any proposed ball.

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