Séminaire Physique mathématique ICJ

Introduction to multisymplectic (co-) momentum geometry

by Dr Leonid Ryvkin (Göttingen)

Fokko du Cloux (Braconnier)

Fokko du Cloux


The existence of a (co)moment is an important prerequisite for many 
constructions in symplectic geometry. The recent discovery of a multisymplectic comoment, that is a morphismof L_infinity algebras, opened the pathway to reduction and quantization procedures in the multisymplectic realm. 
In this talk we will review the notion of multisymplectic comoment andgive a geometric characterization of its existence.
We will then look at the case of actions on n-dimensional spheres and discuss what can still be done, when no homotopy comoment exists.