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Introduction

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Book cover Holomorphic Curves in Low Dimensions

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

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Abstract

This introductory chapter includes a brief overview of some standard notions from symplectic topology, followed by the statements of McDuff’s results on rational and ruled symplectic 4-manifolds. A sketch of the proofs of these theorems is given in order to motivate the study of pseudoholomorphic curves.

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Notes

  1. 1.

    Be aware that the standard terminology for Lefschetz pencils employs the word “base” with two distinct meanings that may occasionally appear in the same sentence: the notion of “base points” is completely unrelated to the “base of the fibration”.

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Wendl, C. (2018). Introduction. In: Holomorphic Curves in Low Dimensions. Lecture Notes in Mathematics, vol 2216. Springer, Cham. https://doi.org/10.1007/978-3-319-91371-1_1

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