2008-02-01

Alimjon Eshmatov, Cornell University

A New Class of Examples of Group-valued Moment Map

The group-valued implosion was introduced by J.Hurtubise, L.Jeffrey and R.Sjamaar (2006). It bears a resemblance to a symplectic reduction, but instead of taking quotient by the entire group it cuts the symmetries down to a maximal torus. I will describe how using an implosion construction one can give a quasi-Hamiltonian structure on quaternionic projective space HP^n.