Buch, Englisch, 142 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 385 g
Buch, Englisch, 142 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 385 g
Reihe: Oxford Mathematical Monographs
ISBN: 978-0-19-853599-7
Verlag: Oxford University Press (UK)
The central theme of this book is the study of self-dual connections on four-manifolds. The authors have adopted a topologists' perspective and so have included many of the explicit calculations using the Atiyah-Singer index theorem as well as presenting arguments couched in terms of equivariant topology. The authors' aim is to present moduli space techniques applied to four-manifolds and to study vector bundles over four-manifolds whose structure group is SO(3).
Results covered include Donaldson's proof that the only positive definite forms occur as intersection forms and the results of Fintushel and Stern which show that the integral homology cobordism group of integral homology three-spheres has elements of infinite order. Little previous knowledge of differential geometry is assumed and so postgraduate students and research workers will find this both an accessible and complete introduction to an area that is currently one of the most active in
mathematical research.
Autoren/Hrsg.
Weitere Infos & Material
Preface; Introduction; Connections; SO(3) - connections; Index of the fundamental complex; The virtual moduli space B; The virtual moduli space M; Intersection forms on 4-manifolds; Moduli space for invariant connections; Applications to homology 3-spheres; Appendices; Bibliography.
