Topology versus Chern numbers for complex 3-folds

Claude LeBrun

Vol. 191 (1999), No. 1, 123–131

DOI: 10.2140/pjm.1999.191.123

Abstract

We show by example that the Chern numbers and of a complex -fold are not determined by the topology of the underlying smooth compact -manifold. In fact, we observe that infinitely many different values of a Chern number can be achieved by (integrable) complex structures on a fixed -manifold.

Milestones

Received: 19 February 1998

Published: 1 November 1999