There exists a program of developing symplectic geometry for loop spaces. A natural setting for this program is the realm of homotopy Lie algebras. In this talk I will consider the concept of moment maps from this point of view and present the results we have in a joint work with C. Rogers (Goettingen) and M. Zambon (Madrid).
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/4234
[3] http://www.mpim-bonn.mpg.de/de/node/3946