Titlebook: Holomorphic Curves in Low Dimensions; From Symplectic Rule Chris Wendl Book 2018 Springer Nature Switzerland AG 2018 MSC (2010): 57R17, 32Q

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https://doi.org/10.1007/978-3-319-91371-1MSC (2010): 57R17, 32Q65; symplectic ruled surfaces; rational and ruled symplectic 4-manifolds; planar

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Background on Closed Pseudoholomorphic Curves,This chapter is intended as a precise but user-friendly overview of the main technical results about holomorphic curves that are typically needed in applications. Most proofs are omitted, but heuristic explanations are given in some places.

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Blowups and Lefschetz Fibrations,This chapter introduces and establishes some basic properties of the symplectic blowup construction and symplectic Lefschetz fibrations.

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Exceptional Spheres,This chapter completes the proofs of the results of McDuff stated in Chap. . concerning exceptional spheres and minimal symplectic 4-manifolds.

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