On the Topology of the Milnor Fibrations

• Grant number: 13/22718-0
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: April 01, 2014
• End date: February 28, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Nivaldo de Góes Grulha Júnior
• Grantee: Rafaella de Souza Martins
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Associated scholarship(s): 15/19721-5 - On the topology of the Milnor fibrations, BE.EP.DR

Abstract

In this project we study the topology of analytic map germs. Such germs give rise to a fibration known as Milnor fibration. We will study the topology of Milnor fiber and the link of the singularity, analyzing the cases in which the germ has isolated singularity or not.

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)

GRULHA JR, N. G.; MARTINS, R. S.. Results on Milnor Fibrations for Mixed Polynomials with Non-isolated Singularities. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 52, n. 2, MAR 2020. (17/09620-2, 13/22718-0, 15/19721-5)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

MARTINS, Rafaella de Souza. On the topology of the Milnor fibrations. 2018. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.