Quasi-hamiltonian Quotients as Disjoint Unions of Symplectic Manifolds

  title={Quasi-hamiltonian Quotients as Disjoint Unions of Symplectic Manifolds},
  • Published 2007
The main result of this paper is theorem 2.13 which says that the quotient µ −1 ({1})/U associated to a quasi-hamiltonian space (M, ω, µ : M → U) has a symplectic structure even when 1 is not a regular value of the momentum map µ. Namely, it is a disjoint union of symplectic manifolds of possibly different dimensions, which generalizes the result of Alekseev, Malkin and Meinrenken in [AMM98]. We illustrate this theorem with the example of representation spaces of surface groups. As an… CONTINUE READING

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