The Euler obstruction of analytic maps

• Grant number: 09/08774-0
• Support Opportunities: Regular Research Grants
• Start date: August 01, 2009
• End date: July 31, 2011
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Nivaldo de Góes Grulha Júnior
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The goal of this project is to study the Euler obstruction of map as a invariant of finitely determined map germs, and get extensions of the formula of Le and Teissier that relates to The Euler obstruction with polar multiplicities and a comparative study of the Euler obstruction and Chern obstruction and also searches results of the Gauss-Bonnet type. (AU)

Scientific publications

(5)

(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)

BRASSELET, J. -P.; GRULHA, JR., N. G.; RUAS, M. A. S.. The Euler obstruction and the Chern obstruction. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. 42, n. 6, p. 1035-1043, DEC 2010. (09/08774-0)

CISNEROS-MOLINA, JOSE LUIS; SEADE, JOSE; GRULHA, JR., NIVALDO G.. On the topology of real analytic maps. INTERNATIONAL JOURNAL OF MATHEMATICS, v. 25, n. 7, JUN 2014. (13/11258-9, 11/03185-6, 09/08774-0)

BRASSELET, J. -P.; GRULHA, N. G., JR.; RUAS, M. A. S.. The Euler obstruction and the Chern obstruction. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, v. 42, p. 9-pg., 2010-12-01. (09/08774-0)

DUTERTRE, NICOLAS; GRULHA, JR., NIVALDO G.. Le-Greuel type formula for the Euler obstruction and applications. ADVANCES IN MATHEMATICS, v. 251, p. 127-146, JAN 30 2014. (13/11258-9, 09/08774-0)

GAFFNEY, TERENCE; GRULHA, NIVALDO G., JR.. THE MULTIPLICITY POLAR THEOREM, COLLECTIONS OF 1-FORMS AND CHERN NUMBERS. JOURNAL OF SINGULARITIES, v. 7, p. 22-pg., 2013-01-01. (09/08774-0)