The cohomology ring of weight varieties and polygon spaces
R. F. Goldin
Abstract
We use a theorem of Tolman and Weitsman to find explicit formulæfor the rational cohomology rings of the symplectic reduction of flag varieties in Cn, or generic coadjoint orbits of SU(n), by (maximal) torus actions. We also calculate the cohomology ring of the moduli space of n points in CPk, which is isomorphic to the Grassmannian of k-planes in Cn, by realizing it as a degenerate coadjoint orbit.
Create a lesson
Related papers
Floer theory on based loops and fundamental groups of Lagrangians in Cn
Shuhao Li
Mapping-space Gromov--Witten classes and the Fano variety of lines
Ivan Smith, Abigail Ward
Categorical and Floer-theoretic entropies: comparison and counting conjugacy classes in symplectic mapping class groups
Sangjin Lee
On nearly Lefschetz fibrations and spinal open books
Hyunki Min, Agniva Roy, Luya Wang
Decomposable concordances induce closed immersions
Roger Casals
Topological triviality of exact Lagrangian Cobordisms
Jean-François Barraud