Mixed Hodge Structures on Alexander Modules

Eva Elduque, University of Michigan, Ann Arbor, Michigan, and Universidad Autonoma de Madrid, Spain, Christian Geske, Northwestern University, Evanston, Illinois, Moises Herradon Cueto, Louisiana State University, Baton Rouge, Louisiana, Laurentiu G. Maxim, University of Wisconsin, Madison, Wisconsin, and Botong Wang, University of Wisconsin, Madison, Wisconsin.

1. Introduction 2. Preliminaries 3. Thickened complexes 4. Thickened complexes and mixed Hodge complexes 5. Mixed Hodge structures on Alexander modules 6. The geometric map is a morphism of MHS 7. The geometric map is an MHS morphism: Consequences 8. Semisimplicity for proper maps 9. Relation to the limit MHS 10. Examples and open questions