Lectures on Symplectic Geometry

2001/01/01 by Ana Cannas da Silva · 1 citation
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Cotangent bundle #Finite Group Theory Research #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical analysis #Mathematics #Moment map #Pure mathematics #Symplectic geometry #Symplectic manifold #Symplectic representation #Symplectic vector space #Symplectomorphism #Trigonometric functions

paper · doi:10.1007/978-3-540-45330-7

openalex publication_date 2001/01/01 · crossref issued 2008/01/01 · crossref published 2008/01/01 · crossref published-print 2008/01/01 · crossref created 2008/10/24 · crossref deposited 2019/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29 · crossref indexed 2026/07/29

Citations

• Symplectic quotients by a nonabelian group and by its maximal torus
• Transversality theory, cobordisms, and invariants of symplectic quotients
• Symplectic manifolds and their lagrangian submanifolds
• Non-abelian convexity by symplectic cuts
• Classification of overtwisted contact structures on 3-manifolds
• Reduction of symplectic manifolds with symmetry
• Heat Kernels and Dirac Operators
• The Geometries of 3-Manifolds
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD
• On global action‐angle coordinates
• Stratified Symplectic Spaces and Reduction
• Two Dimensional Gauge Theories Revisited
• The moment map and equivariant cohomology
• Introduction to Complex Analysis in Several Variables

Cited by

• Kähler manifold [wikipedia]