Introduction .................................................... 1
Chapter 1 Few words about difFeology ........................... 5
Chapter 2 Diffeological groups and momenta ..................... 9
Chapter 3 The paths moment map ................................ 17
Chapter 4 The 2-points moment map ............................. 23
Chapter 5 The moment maps ..................................... 25
Chapter 6 The moment maps for exact 2-forms ................... 29
Chapter 7 Functoriality of the moment maps .................... 31
Chapter 8 The universal moment maps ........................... 35
Chapter 9 About symplectic manifolds .......................... 39
Chapter 10 The homogeneous case ................................ 45
Chapter 11 Examples of moment maps in diffeology ............... 47
Bibliography ................................................... 71
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