Construction of right inverses of the Kirwan map

Abstract

[eng] The objects studied in this thesis are Hamiltonian spaces and it is assumed that the reader is familiar with them as explained in e.g. [Can, VII-IX] or [McSa1, §5]. The usual contents of first year graduate courses in differential geometry and algebraic topology are also assumed. We did our best effort to explain or to provide useful references to anything beyond that, including some of the notions that appear in this introduction.