1998/07/03 by Jean-Claude Hausmann, Allen Knutson, Hausmann, Jean-Claude +1
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Symplectic Geometry (math.SG) #math.AG #math.AT #math.DG #math.SG
paper · pdf · doi:10.48550/arxiv.math/9807018
8 pages, no pictures, LaTeX twice. Fixed some indices (that don't affect the result), and added a comment on alternate methods of calculation
openalex publication_date 1998/07/03 · arxiv created 1998/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The ``symplectic cut'' construction [Lerman] produces two symplectic orbifolds C- and C+ from a symplectic manifold M with a Hamiltonian circle action. We compute the rational cohomology ring of C+ in terms of those of M and C-.