Journal of Symplectic Geometry
Volume 14 (2016)
Floer cohomologies of non-torus fibers of the Gelfand–Cetlin system
Pages: 1251 – 1293
The Gelfand–Cetlin system has non-torus Lagrangian fibers on some of the boundary strata of the moment polytope. We compute Floer cohomologies of such non-torus Lagrangian fibers in the cases of the $3$-dimensional full flag manifold and the Grassmannian of $2$-planes in a $4$-space.