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2 results

  • Weighted nonlinear flag manifolds as coadjoint orbits

  • Part of
  • Stefan Haller, Cornelia Vizman
  • Journal:
    Canadian Journal of Mathematics / Volume 76 / Issue 5 / October 2024
    Published online by Cambridge University Press:
    09 October 2023, pp. 1664-1694
    Print publication:
    October 2024
    • Article
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  • A weighted nonlinear flag is a nested set of closed submanifolds, each submanifold endowed with a volume density. We study the geometry of Fréchet manifolds of weighted nonlinear flags, in this way generalizing the weighted nonlinear Grassmannians. When the ambient manifold is symplectic, we use these nonlinear flags to describe a class of coadjoint orbits of the group of Hamiltonian diffeomorphisms, orbits that consist of weighted isotropic nonlinear flags.

  • On Injective and Cofibrant Equivariant Minimal Models

  • Marek Golasiński
  • Journal:
    Compositio Mathematica / Volume 124 / Issue 1 / October 2000
    Published online by Cambridge University Press:
    04 December 2007, pp. 1-9
    Print publication:
    October 2000
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  • Let X be a G-connected nilpotent simplicial set, where G is a finite Hamiltonian group. We construct a cofibrant equivariant minimal model of X with the strong homotopy type of the injective minimal model of X defined by Triantafillou.