Poisson Geometry, Deformation Quantisation and Group Representations Book

Pt. 1	Poisson geometry and Morita equivalence	1
1	Introduction	3
2	Poisson geometry and some generalizations	5
3	Algebraic Morita equivalence	25
4	Geometric Morita equivalence	37
5	Geometric representation equivalence	67
Pt. 2	Formality and star products	79
1	Introduction	81
2	The star product	87
3	Rephrasing the main problem : the formality	93
4	Digression : what happens in the dual	113
5	The Kontsevich formula	120
6	From local to global deformation quantization	134
Pt. 3	Lie groupoids, sheaves and cohomology	145
1	Introduction	147
2	Lie groupoids	149
3	Sheaves on Lie groupoids	175
4	Sheaf cohomology	210
5	Compactly supported cohomology	242
Pt. 4	Geometric methods in representation theory	273
1	Reductive Lie groups : definitions and basic properties	275
2	Compact Lie groups	282
3	Representations of reductive Lie groups	294
4	Geometric constructions of representations	305
Pt. 5	Deformation theory : a powerful tool in physics modelling	325
1	Introduction	327
2	Composite elementary particles in AdS microworld	332
3	Nonlinear covariant field equations	338
4	Quantisation is a deformation	340