An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Chris Wendl is Professor of Differential Geometry and Global Analysis at Humboldt University of Berlin. He is the author of Holomorphic Curves in Low Dimensions: From Symplectic Ruled Surfaces to Planar Contact Manifolds (2018), and a recent recipient of an ERC Consolidator Grant.
Inhaltsangabe
Introduction 1. Closed holomorphic curves in symplectic 4-manifolds 2. Intersections, ruled surfaces and contact boundaries 3. Asymptotics of punctured holomorphic curves 4. Intersection theory for punctured holomorphic curves 5. Symplectic fillings of planar contact 3-manifolds Appendix A. Properties of pseudoholomorphic curves Appendix B. Local positivity of intersections Appendix C. A quick survey of Siefring's intersection theory References Index.
Introduction 1. Closed holomorphic curves in symplectic 4-manifolds 2. Intersections, ruled surfaces and contact boundaries 3. Asymptotics of punctured holomorphic curves 4. Intersection theory for punctured holomorphic curves 5. Symplectic fillings of planar contact 3-manifolds Appendix A. Properties of pseudoholomorphic curves Appendix B. Local positivity of intersections Appendix C. A quick survey of Siefring's intersection theory References Index.
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