<i>BP</i>-cohomology of projective Stiefel manifolds
نویسندگان
چکیده
In this paper, we compute the $BP$ -cohomology of complex projective Stiefel manifolds. The method involves homotopy fixed point spectral sequence, and works for oriented cohomology theories. We also use these calculations -operations to prove new results about equivariant maps between
منابع مشابه
The Motivic Cohomology of Stiefel Manifolds
We calculate from first principles the motivic cohomology of Gl(n) and Stiefel manifoldsW(n,m). We also demonstrate a comparison map ΣtP → Gl(n). CONTENTS
متن کاملRolling Stiefel manifolds
In this paper rolling maps for real Stiefel manifolds are studied. Real Stiefel manifolds being the set of all orthonormal k-frames of an n-dimensional real Euclidean space are compact manifolds. They are considered here as rigid bodies embedded in a suitable Euclidean space such that the corresponding Euclidean group acts on the rigid body by rotations and translations in the usual way. We der...
متن کاملTorsion cohomology classes and algebraic cycles on complex projective manifolds
Let X be a smooth complex projective manifold and H(X,Z) its singular cohomology group of degree n, with integral coefficients. Given a torsion class α ∈ H(X,Z), can we say that this class α is algebraic? This is true when k = 1, and, apparently, Hodge thought that this would always be the case [10]. However, Atiyah and Hirzebruch found counterexamples to Hodge’s assertion [2]. This is why the ...
متن کاملThe Motivic Cohomology of Stiefel Varieties
The main result of this paper is a computation of the motivic cohomology of varieties of n × m-matrices of of rank m, including both the ring structure and the action of the reduced power operations. The argument proceeds by a comparison of the general linear group-scheme with a Tate suspension of a space which is A1-equivalent to projective n− 1-space with a disjoint basepoint.
متن کاملNon-neutrality of the Stiefel manifolds < II
The Stiefel manifolds < are shown to be non-neutral for m*5, 2 #2)k"2l( 2 !2. 2001 Elsevier Science Ltd. All rights reserved.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings
سال: 2022
ISSN: ['0890-1740']
DOI: https://doi.org/10.1017/prm.2022.14