Holomorphic curves in low dimensions. From symplectic ruled surfaces to planar contact manifolds

DOI10.1007/978-3-319-91371-1zbMath1432.57055OpenAlexW2809857893MaRDI QIDQ1753192

Chris Wendl

Publication date: 28 May 2018

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-91371-1

zbMATH Keywords

4-manifoldLefschetz pencilSeiberg-Witten theoryGromov-Witten invariantLefschetz fibrationArnold conjecturesymplecticpseudoholomorphic curve\(J\)-holomorphic curveWeinstein conjectureuniruledsymplectic fillingsrational manifoldSFTruled manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Symplectic and contact topology in high or arbitrary dimension (57R17) Research exposition (monographs, survey articles) pertaining to differential geometry (53-02) Pseudoholomorphic curves (32Q65) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02)

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Contact geometry in the restricted three-body problem: a survey ⋮ Symplectic hats ⋮ Contact Open Books and Symplectic Lefschetz Fibrations (Survey) ⋮ Spine removal surgery and the geography of symplectic fillings ⋮ Stein and Weinstein structures on disk cotangent bundles of surfaces ⋮ Holomorphic spheres and four-dimensional symplectic pairs ⋮ Classification of six-dimensional monotone symplectic manifolds admitting semifree circle actions I ⋮ The symplectic isotopy problem for rational cuspidal curves

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