Root and homotopy theory, manifold topology, stratified spaces, spherical spacial ...
NIELSEN THEORY FOR MAPS BETWEEN SPHERICAL 3-MANIFOLDS AND SOME HOMOGENEOUS SPACES
Grant number: | 18/19603-0 |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
Start date: | October 01, 2018 |
End date: | September 30, 2020 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Oziride Manzoli Neto |
Grantee: | Alexandre Thomas Guillaume Quesney |
Host Institution: | Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil |
Associated research grant: | 16/24707-4 - Algebraic, geometric and differential topology, AP.TEM |
Abstract Knot and link theory, a particular case of the theory of embeddings of manifolds into manifolds, took its origin from the attempt of classifying these topological objects (embeddings of the circle or disjoint union of it into the n-dimensional sphere).Along the time, various equivalence relations among the embeddings have been defined, and several invariants have been introduced. Recently, the study of string links, homotopy centres and topological field theories have lead to a new way of studying links. We pretend to make use of recent developments to study braids and links. | |
News published in Agência FAPESP Newsletter about the scholarship: | |
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