Escudo de la República de Colombia
Sistema Nacional de Biliotecas - Repositorio Institucional Universidad Nacional de Colombia Biblioteca Digital - Repositorio Institucional UN Sistema Nacional de Bibliotecas UN

Cobordism invariants and characteristic classes

Cuadros Hernández, Kevin José (2018) Cobordism invariants and characteristic classes. Maestría thesis, Universidad Nacional de Colombia - Sede Medellín.

Texto completo

[img]
Vista previa
PDF - Versión Aceptada
Available under License Creative Commons Attribution Non-commercial No Derivatives.

4MB

Resumen

The concept of cobordism owes its origin to the Frenchman Henri Poincar e. The relation of cobordism is de ned for two closed manifolds M and N with same dimensión n. By de nition M And Nare cobordant if there is a manifold of di mension n+ 1 whose boundary is MtN; that is, the disjoint union of M and N. Being a relation of equivalence weaker than homeomorphism and di eomor-phism, the search for a classi cation of manifolds under this one seems easier to describe. This concept has a leading role in geometric topology and algebraic topology thanks to contributions from mathematicians such as Ren e Thom and Lev Pontrjagin. More recently, it has been a central part of the development of topological theory of quantum elds. Thom in the mid-twentieth century proved the theorem exhibiting an isomorphism between the ring of equivalence classes of cobordism and the homotopy group of the Thom spectrum, being this one of his most important contributions in geometry. This theorem allows us, for example, to describe the torsion free part of the ring of cobordism as a polynomial ring in in nite many variables, a really impressive result

Tipo de documento:Tesis/trabajos de grado - Thesis (Maestría)
Colaborador / Asesor:Arias Abad, Camilo
Información adicional:Master in Mathemathics
Palabras clave:Cobordism
Temática:5 Ciencias naturales y matemáticas / Science > 51 Matemáticas / Mathematics
Unidad administrativa:Sede Medellín > Facultad de Ciencias > Escuela de Matemáticas > Matemáticas
Código ID:64847
Enviado por : Kevin José Cuadros Hernández
Enviado el día :29 Junio 2018 18:10
Ultima modificación:29 Junio 2018 18:10
Ultima modificación:29 Junio 2018 18:10
Exportar:Clic aquí
Estadísticas:Clic aquí
Compartir:

Solamente administradores del repositorio: página de control del ítem

Vicerrectoría de Investigación: Número uno en investigación
Indexado por:
Indexado por Scholar Google WorldCat DRIVER Metabiblioteca OAIster BASE BDCOL Registry of Open Access Repositories SNAAC Red de repositorios latinoamericanos eprints Open archives La referencia Tesis latinoamericanas OpenDOAR CLACSO
Este sitio web se ve mejor en Firefox