2018/05/02 by Andrea Galasso, Galasso, Andrea, Roberto Paoletti +1
Mathematics · #Geometry and complex manifolds #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1805.00637
Let M be complex projective manifold, and A a positive line bundle on it.\nAssume that SU(2) acts on M in a Hamiltonian manner, with nowhere vanishing\nmoment map, and that this action linearizes to A. Then there is an associated\nunitary representation of G on the associated algebro-geometric Hardy space,\nand the isotypical components are all finite dimensional. We consider the local\nand global asymptotic properties the equivariant projector associated to a\nweight k , boldsymbol \ν , when boldsymbol \ν is fixed and\nk\→ +\∞.\n