POINCARÉ DUALITY FORK-THEORY OF EQUIVARIANT COMPLEX PROJECTIVE SPACES
نویسندگان
چکیده
منابع مشابه
Poincaré Duality for K-theory of Equivariant Complex Projective Spaces
We make explicit Poincaré duality for the equivariant K-theory of equivariant complex projective spaces. The case of the trivial group provides a new approach to the K-theory orientation [3].
متن کاملTopological K-theory of Complex Projective Spaces
We compute the K-theory of complex projective spaces. There are three major ingredients: the exact sequence of K-groups, the theory of Chern character and the Bott Periodicity Theorem.
متن کاملEquivariant K-theory of real vector spaces and real projective spaces
The computation of the equivariant K-theory K∗ G(V ) of the Thom space of a real vector bundle has been done successfully only under some spinoriality conditions [1], thanks to a clever use of the Atiyah–Singer index theorem (even if G is a finite group). One purpose of this paper is to fill this gap, at least for real vector spaces (considered as vector bundles over a point). For this purpose,...
متن کاملTwisted K-theory and Poincaré duality
Using methods of KK-theory, we generalize Poincaré K-duality to the framework of twisted K-theory.
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ژورنال
عنوان ژورنال: Glasgow Mathematical Journal
سال: 2008
ISSN: 0017-0895,1469-509X
DOI: 10.1017/s0017089507003990