Symplectic singularities of differentiable mappings

• Grant number: 12/16426-4
• Support Opportunities: Scholarships in Brazil - Doctorate
• Start date: February 01, 2014
• End date: March 31, 2015
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Roberta Godoi Wik Atique
• Grantee: Fausto Assunção de Brito Lira
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The purpose of this research project is to obtain a classification of subsets in the symplectic Euclidean space of dimension 2n, reducing to the case of algebraic restrictions. Moreover we intend to study discrete simplectic invariants to the classification obtained.

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)

DE BRITO LIRA, F. ASSUNCAO; DOMITRZ, W.; ATIQUE, R. WIK. Classification of transversal Lagrangian stars. Topology and its Applications, v. 235, p. 352-367, FEB 15 2018. (15/04409-6, 12/16426-4)

DE BRITO LIRA, FAUSTO ASSUNCAO; DOMITRZ, WOJCIECH; ATIQUE, ROBERTA WIK. Symplectic Singularity of Curves with Semigroups (4,5,6,7),(4,5,6) and (4,5,7). BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 50, n. 2, p. 347-371, JUN 2019. (12/16426-4)

Academic Publications

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

LIRA, Fausto Assunção de Brito. Symplectic classification of parameterized curve-germs and Lagrangian stars. 2015. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB) São Carlos.