Chris Wendl is known among symplectic topologists for contributions to the study of symplectic fillability of contact manifolds, and for transversality results in the theory of pseudoholomorphic curves. He is currently Professor of Differential Geometry and Global Analysis at the Humboldt University in Berlin, and is also the author of two other forthcoming books on holomorphic curves and symplectic field theory.

“The book is well-written, well-referenced … . Anyone interested in McDuff’s characterization of rational and ruled symplectic 4-manifolds or her theorem that says ‘uniruled => rational/ruled’ should find this book quite useful.” (David E. Hurtubise, zbMATH 1432.57055, 2020)

• 1 Introduction.- 2 Background on Closed Pseudoholomorphic Curves.- 3 Blowups and Lefschetz Fibrations.- 4 Compactness.- 5 Exceptional Spheres.- 6 Rational and Ruled Surfaces.- 7 Uniruled Symplectic 4-Manifolds.- 8 Holomorphic Curves in Symplectic Cobordisms.- 9 Contact 3-Manifolds and Symplectic Fillings.- Appendix.- Bibliography.- Index.

Chris Wendl is known among symplectic topologists for contributions to the study of symplectic fillability of contact manifolds, and for transversality results in the theory of pseudoholomorphic curves. He is currently Professor of Differential Geometry and Global Analysis at the Humboldt University in Berlin, and is also the author of two other forthcoming books on holomorphic curves and symplectic field theory.

“The book is well-written, well-referenced … . Anyone interested in McDuff’s characterization of rational and ruled symplectic 4-manifolds or her theorem that says ‘uniruled => rational/ruled’ should find this book quite useful.” (David E. Hurtubise, zbMATH 1432.57055, 2020)

• 1 Introduction.- 2 Background on Closed Pseudoholomorphic Curves.- 3 Blowups and Lefschetz Fibrations.- 4 Compactness.- 5 Exceptional Spheres.- 6 Rational and Ruled Surfaces.- 7 Uniruled Symplectic 4-Manifolds.- 8 Holomorphic Curves in Symplectic Cobordisms.- 9 Contact 3-Manifolds and Symplectic Fillings.- Appendix.- Bibliography.- Index.

Chris Wendl is known among symplectic topologists for contributions to the study of symplectic fillability of contact manifolds, and for transversality results in the theory of pseudoholomorphic curves. He is currently Professor of Differential Geometry and Global Analysis at the Humboldt University in Berlin, and is also the author of two other forthcoming books on holomorphic curves and symplectic field theory.

“The book is well-written, well-referenced … . Anyone interested in McDuff’s characterization of rational and ruled symplectic 4-manifolds or her theorem that says ‘uniruled => rational/ruled’ should find this book quite useful.” (David E. Hurtubise, zbMATH 1432.57055, 2020)

• 1 Introduction.- 2 Background on Closed Pseudoholomorphic Curves.- 3 Blowups and Lefschetz Fibrations.- 4 Compactness.- 5 Exceptional Spheres.- 6 Rational and Ruled Surfaces.- 7 Uniruled Symplectic 4-Manifolds.- 8 Holomorphic Curves in Symplectic Cobordisms.- 9 Contact 3-Manifolds and Symplectic Fillings.- Appendix.- Bibliography.- Index.