Lefschetz fibrations and monodromy

• Grant number: 09/08587-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 28, 2009
• End date: September 20, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Algebra
• Principal Investigator: Marcos Benevenuto Jardim
• Grantee: Marcos Benevenuto Jardim
• Visiting researcher: Elizabeth Terezinha Gasparim
• Visiting researcher institution: University of Edinburgh, Scotland
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

We propose to study Lefschetz fibrations in dimensions higher than four. There are many open problems in this area which are of interest in String Theory and Mirror Symmetry. We will investigate how to characterize when a topological Lefschetz fibration has a symplectic structure. Subsequently, we will study the possible Lefschetz fibrations of a fixed symplectic manifold, and find the minimal number of singular fibers and the nature of the singularities. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

GASPARIM, ELIZABETH; KOPPE, THOMAS. SHEAVES ON SINGULAR VARIETIES. JOURNAL OF SINGULARITIES, v. 2, p. 11-pg., 2010-01-01. (09/08587-5)