L2-Moduli Spaces and a Vanishing Theorem for Donaldson Polynomial Invariants

Description

This monograph provides tools for the study of anti-self dual connections on 4-manifolds with cylindrical ends. The work has many applications to the most recent and important advances in mathematics. This book also describes a setup for dealing with the general problem of trying to understand Donaldson's invariants of a smooth four manifold X by stretching its metric out along a codimension-one embedded submanifold N. The main concern here is the local description of the moduli space of finite energy anti-selfdual (ASD) connections in a principal G bundle over a four manifold with cylindrical end.

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