Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's rece…
Based on a series of lectures for students in topology, this book provides an entry point into the intersection theory of punctured holomorphic curves. Appendices featuring quick reference guides for applying the theory and self-contained proofs of key technical results also mak…
Motivation -- Closed holomorphic curves in symplectic 4-manifolds -- Intersections, ruled surfaces, and contact boundaries -- Asymptotics of punctured holomorphic curves -- Intersection theory for punctured holomorphic curves -- Symplectic fillings of planar contact 3-manifolds.
Intersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's rece…
An accessible introduction to the intersection theory of punctured holomorphic curves and its applications in topology.