Título inglés | Elliptic cohomologies: an introductory survey. |
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Título español | Cohomologías elípticas: un ensayo introductorio. |
Autor/es | Moreno, Guillermo |
Organización | Dep. Mat. Cent. Inv. Estud. Avan. [CINVESTAV], México D.F., Méjico |
Revista | 0214-1493 |
Publicación | 1992, 36 (2B): 789-806, 24 Ref. |
Tipo de documento | articulo |
Idioma | Inglés |
Resumen inglés | Let α and β be any angles then the known formula sin (α+β) = sinα cosβ + cosα sinβ becomes under the substitution x = sinα, y = sinβ, sin (α + β) = x √(1 - y2) + y √(1 - x2) =: F(x,y). This addition formula is an example of "Formal group law", which show up in many contexts in Modern Mathematics. In algebraic topology suitable cohomology theories induce a Formal group Law, the elliptic cohomologies are the ones who realize the Euler addition formula (1778): F(x,y) =: (x √R(y) + y √R(x)/1 - εx2y2). For R(z) = 1 - 2δz2 + εz4 the above case corresponds to ε=0, δ=1/2. In this survey paper we define these cohomology theories and establish their relationship with global analysis (Atiyah-Singer theorem) and modular forms following ideas of Landweber, Hirzebruch et al. |
Código MathReviews | MR1210020 |
Acceso al artículo completo |