Connectedness of spaces of symplectic embeddings
classification
dg-ga
alg-geommath.AGmath.DG
keywords
symplecticballsconnectedconnectednessembeddingsequalgromov-witteninflation
read the original abstract
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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