Topology of the fibers of real and complex polynomials mappings: local and global (at infinity) aspects

• Grant number: 13/23443-5
• Support Opportunities: Regular Research Grants
• Start date: March 01, 2014
• End date: February 29, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Raimundo Nonato Araújo dos Santos
• Grantee: Raimundo Nonato Araújo dos Santos
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project aim to develop a study on the geometry and topology of real and complex polynomial mappings, both the local and global (at infinity) aspects. For this, we will use techniques and tools of higher open book decomposition, open book decomposition with singular binding, local and global Milnor fibrations. (AU)

Scientific publications

(4)

(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)

DUTERTRE, NICOLAS; ARAUJO DOS SANTOS, RAIMUNDO N.. Topology of Real Milnor Fibrations for Non-Isolated Singularities. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, n. 16, p. 4849-4866, 2016. (13/23443-5)

DUTERTRE, N.; ARAUJO DOS SANTOS, R. N.; CHEN, YING; DO ESPIRITO SANTO, ANTONIO ANDRADE. Open book structures on semi-algebraic manifolds. MANUSCRIPTA MATHEMATICA, v. 149, n. 1-2, p. 205-222, JAN 2016. (12/18957-7, 13/23443-5)

DUTERTRE, NICOLAS; ARAUJO DOS SANTOS, RAIMUNDO N.. Topology of Real Milnor Fibrations for Non-Isolated Singularities. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2016, n. 16, p. 18-pg., 2016-01-01. (13/23443-5)

DOS SANTOS, RAIMUNDO ARAUJO; HOHLENWERGER, MARIA A. B.; SAEKI, OSAMU; SOUZA, TACIANA O.. NEW EXAMPLES OF NEUWIRTH-STALLINGS PAIRS AND NON-TRIVIAL REAL MILNOR FIBRATIONS. ANNALES DE L INSTITUT FOURIER, v. 66, n. 1, p. 83-104, 2016. (12/12972-4, 13/23443-5)