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Anglický jazyk
A Riemann- Roch theorem for compact spaces
Autor: Laurent Motais de Narbonne
Further to Grothendieck's works that proof that we have a Riemann-Roch theorem for certain morphisms of algebraic varieties and of Hirzebruch and Atiyah for certain morphisms of differentiable manifolds, we will proof that we have a Riemann-Roch theorem... Viac o knihe
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O knihe
Further to Grothendieck's works that proof that we have a Riemann-Roch theorem for certain morphisms of algebraic varieties and of Hirzebruch and Atiyah for certain morphisms of differentiable manifolds, we will proof that we have a Riemann-Roch theorem for continuous applications between compact spaces verifying certain conditions, in the context of topological K-theory of compact spaces.The Riemann-Roch theorem that we have in mind involves the K functor defined by K (X) :=-1K°(X)¿ K (X), where K°(X) denotes the Grothendieck group of complex fiber bundles over X,-1 where K (X) := K°(S(X)), where S(X) denotes the reduced suspension of X and the H* functor k defined by par H*(X) := ¿ H (X ;Q) .These two functors will apply to the category where the objects are compact spaces and the morphisms are applications that we will call, using Lang and Fulton terminology, regular.
- Vydavateľstvo: LAP LAMBERT Academic Publishing
- Rok vydania: 2020
- Formát: Paperback
- Rozmer: 220 x 150 mm
- Jazyk: Anglický jazyk
- ISBN: 9786202531931
