TL;DR
This survey reviews five decades of symplectic geometry research, highlighting key developments in moment map convexity, symplectic actions classification, embedding problems, and Gromov-Witten invariants.
Contribution
It provides a comprehensive overview of major progress and open problems in symplectic geometry over the past fifty years.
Findings
Advances in moment map convexity properties
Classification results for symplectic actions
Progress in symplectic embedding problems
Abstract
We survey the progress on the study of symplectic geometry past five decades. The survey focuses on the convexity properties of a moment map, the classification of symplectic actions, the symplectic embedding problems, and the theory of Gromov-Witten invariants.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Algebra and Geometry · Homotopy and Cohomology in Algebraic Topology