J. Scott Carter | University Alabama - Estados Unidos

• Grant number: 95/00923-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: January 23, 1996
• End date: May 22, 1996
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Carlos Biasi
• Grantee: Carlos Biasi
• Visiting researcher: J. Scott Carter
• Visiting researcher institution: University of Alabama (UA), United States
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

While visiting USP and ICMSC-USP, Dr. J. Scott Carter proposes to study the geometric topology of codimension 1 immersions and knotted surfaces in dimension 4. Below, the relationships between these topics will be discussed. Throughout this proposal all manifolds and maps are assumed to be smooth and all immersions and projections are assumed to be in general position. Problem 1: Codimension 1 immersions and the Kervaire invariant. Problem 2: Braided surfaces and surfaces in 4 dimensions. Problem 3: Topological Quantum Field Theories in Dimension 4. (AU)