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Homotopy and root theory, manifold theory, stratified spaces, spherical space forms and topological dynamic systems

Grant number: 18/19603-0
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): October 01, 2018
Effective date (End): September 30, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Oziride Manzoli Neto
Grantee:Alexandre Thomas Guillaume Quesney
Home 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 diferential topology, AP.TEM


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.

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)
MENCATTINI, IGOR; QUESNEY, ALEXANDRE; SILVA, PRYSCILLA. Post-symmetric braces and integration of post-Lie algebras. Journal of Algebra, v. 556, p. 547-580, AUG 15 2020. Web of Science Citations: 0.

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