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...
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 hav...