Abstract and Applied Analysis
Volume 2005 (2005), Issue 6, Pages 575-579
doi:10.1155/AAA.2005.575
Periods for holomorphic maps via Lefschetz numbers
Jaume Llibre1
and Michael Todd2
1Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, Barcelona 08193, Spain
2Department of Mathematics and Statistics, University of Surrey, Surrey, Guildford GU2 7XH, UK
Abstract
We characterise the set of fixed points of a class of holomorphic maps on complex manifolds with a prescribed homology. Our main tool is the Lefschetz number and the action of maps on the first homology group.