2003/10/09 by Tamás Hausel, Tamas Hausel, Hausel, Tamas +2
Mathematics · #53C26 #53D20 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #math.AG #math.DG #math.SG #msc:53C26 #msc:53D20
paper · pdf · doi:10.48550/arxiv.math/0310141
18 pages, 1 figure
arxiv created 2003/10/09 · openalex publication_date 2003/10/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study an integration theory in circle equivariant cohomology in order to prove a theorem relating the cohomology ring of a hyperkahler quotient to the cohomology ring of the quotient by a maximal abelian subgroup, analogous to a theorem of Martin for symplectic quotients. We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space.