The Motivic Cohomology of Stiefel Manifolds
نویسنده
چکیده
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
منابع مشابه
Equivariant Motivic Cohomology
The present paper will form part of the author’s PhD thesis, which will concern in part the practical computation of the motivic cohomology and the equivariant motivic cohomology of homogeneous varieties, such as Stiefel manifolds, Grassmanians, and spaces of matrices with prescribed rank conditions. Nothing proved here is particularly surprising, but it seems to the author that the spectral se...
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 کاملMultiple point of self-transverse immesions of certain manifolds
In this paper we will determine the multiple point manifolds of certain self-transverse immersions in Euclidean spaces. Following the triple points, these immersions have a double point self-intersection set which is the image of an immersion of a smooth 5-dimensional manifold, cobordant to Dold manifold $V^5$ or a boundary. We will show there is an immersion of $S^7times P^2$ in $mathbb{R}^{1...
متن کاملRing structures of mod p equivariant cohomology rings and ring homomorphisms between them
In this paper, we consider a class of connected oriented (with respect to Z/p) closed G-manifolds with a non-empty finite fixed point set, each of which is G-equivariantly formal, where G = Z/p and p is an odd prime. Using localization theorem and equivariant index, we give an explicit description of the mod p equivariant cohomology ring of such a G-manifold in terms of algebra. This makes ...
متن کاملAn Overview of Motivic Cohomology
In this talk we give an overview of some of the motivations behind and applications of motivic cohomology.We first present aK-theoretic timeline converging onmotivic cohomology, then briefly discuss algebraic K-theory and its more concrete cousin Milnor K-theory. We then present a geometric definition of motivic cohomology via Bloch’s higher Chow groups and outline the main features of motivic ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009