Abstract and Applied Analysis
Volume 2005 (2005), Issue 6, Pages 575-579

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

Received 27 June 2004

Copyright © 2005 Jaume Llibre and Michael Todd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.