Homotopy Decompositions and K-Theory of Bott Towers
نویسندگان
چکیده
منابع مشابه
Homotopy Decompositions and K–theory of Bott Towers
We describe Bott towers as sequences of toric manifolds M, and identify the omniorientations which correspond to their original construction as toric varieties. We show that the suspension of M is homotopy equivalent to a wedge of Thom complexes, and display its complex K-theory as an algebra over the coefficient ring. We extend the results to KO-theory for several families of examples, and com...
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We study the geometry and topology of Bott towers in the context of toric geometry. We show that any kth stage of a Bott tower is a smooth projective toric variety associated to a fan arising from a crosspolytope; conversely, we prove that any toric variety associated to a fan obtained from a crosspolytope actually gives rise to a Bott tower. The former leads us to a description of the tangent ...
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ژورنال
عنوان ژورنال: K-Theory
سال: 2005
ISSN: 1573-0514,0920-3036
DOI: 10.1007/s10977-005-1551-x