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- W2949589256 abstract "We completely solve the symplectic packing problem with equally sized balls for any rational, ruled, symplectic 4-manifolds. We give explicit formulae for the packing numbers, the generalized Gromov widths, the stability numbers, and the corresponding obstructing exceptional classes. As a corollary, we give explicit values for when an ellipsoid of type $E(a, b)$, with $frac{b}{a} in N$, embeds in a polydisc $P(s,t)$. Under this integrality assumption, we also give an alternative proof of a recent result of M. Hutchings showing that the ECH capacities give sharp inequalities for embedding ellipsoids into polydisks." @default.
- W2949589256 created "2019-06-27" @default.
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- W2949589256 date "2011-04-18" @default.
- W2949589256 modified "2023-09-27" @default.
- W2949589256 title "Packing numbers of rational ruled 4-manifolds" @default.
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