Connected sums of self-dual manifolds and equivariant relative smoothings

Henrik Pedersen and Yat Sun Poon

Vol. 191 (1999), No. 1, 145–171

DOI: 10.2140/pjm.1999.191.145

Abstract

In this paper we address a problem in differential geometry using tools from algebraic geometry and the theory of singular complex spaces. We obtain examples of compact four dimensional self-dual conformal manifolds with torus symmetry and positive scalar curvature from twistor spaces with divisors and we study the local moduli of such geometries.

Milestones

Received: 23 January 1998

Published: 1 November 1999