Geometry of Low-Dimensional Manifolds: Volume 2 Book

	Contents of Volume 1	vi
	Contributors	vii
	Names of Participants	viii
	Introduction	xi
	Acknowledgements	xiv
Part 1	Symplectic Geometry	1
	Introduction	3
	Rational and ruled symplectic 4-manifolds	7
	Symplectic capacities	15
	The nonlinear Maslov index	35
	Filling by holomorphic discs and its applications	45
Part 2	Jones/Witten Theory	69
	Introduction	71
	New results in Chern-Simons theory	73
	Geometric quantization of spaces of connections	97
	Evaluations of the 3-manifold invariants of Witten and Reshetikhin-Turaev for s/(2, C)	101
	Representations of braid groups	115
Part 3	Three-Dimensional Manifolds	123
	Introduction	125
	An introduction to polyhedral metrics of non-positive curvature on 3-manifolds	127
	Finite groups of hyperbolic isometries	163
	Pin structures on low-dimensional manifolds	177
	Contents of Volume 2	vi
	Contributors	vii
	Names of Participants	viii
	Introduction	ix
	Acknowledgments	xiv
Part 1	Four-Manifolds and Algebraic Surfaces	1
	Yang-Mills invariants of four-manifolds	5
	On the topology of algebraic surfaces	41
	The topology of algebraic surfaces with q = pg = 0	55
	On the Homeomorphism classification of smooth knotted surfaces in the 4-sphere	63
	Flat algebraic manifolds	73
Part 2	Floer's Instanton Homology Groups	93
	Instanton homology, surgery and knots	97
	Instanton homology	115
	Invariants for homology 3-spheres	125
	On the Floer homology of Seifert fibered homology 3-spheres	149
	Z[subscript a]-invariant SU(2) instantons over the four-sphere	161
Part 3	Differential Geometry and Mathematical Physics	175
	Skyrme fields and instantons	179
	Representations of braid groups and operators coupled to monopoles	191
	Extremal immersions and the extended frame bundle	207
	Minimal surfaces in quaternionic symmetric spaces	231
	Three-dimensional Einstein-Weyl geometry	237
	Harmonic Morphisms, conformal foliations and Seifert fibre spaces	247