Connectedness of spaces of symplectic embeddings

Mathematics – Algebraic Geometry

Scientific paper

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22 pages, written in Amslatex

Scientific paper

We prove that the space of symplectic packings of ${\Bbb C}P^2$ by $k$ equal
balls is connected for $3\leq k\leq 6$. The proof is based on Gromov-Witten
invariants and on the inflation technique due to Lalonde and McDuff.

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