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Compactness

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Holomorphic Curves in Low Dimensions

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2216))

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Abstract

In this chapter, we apply Gromov’s compactness theorem to establish some more specific compactness results needed for the proofs of McDuff’s theorems from Chap. 1. The main theme is the use of index relations to avoid problems with nodal degenerations and multiple covers.

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References

  1. D. McDuff, D. Salamon, J-Holomorphic Curves and Symplectic Topology. American Mathematical Society Colloquium Publications, vol. 52, 2nd edn. (American Mathematical Society, Providence, RI, 2012)

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Wendl, C. (2018). Compactness. In: Holomorphic Curves in Low Dimensions. Lecture Notes in Mathematics, vol 2216. Springer, Cham. https://doi.org/10.1007/978-3-319-91371-1_4

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