The Evens-Kahn formula for the total Stiefel-Whitney class
نویسندگان
چکیده
منابع مشابه
Stiefel - Whitney Currents
A canonically defined mod 2 linear dependency current is associated to each collection v of sections, Vl, . . . , Vm, of a real rank n vector bundle. This current is supported on the linear dependency set of v. It is defined whenever the collection v satisfies a weak measure theoretic condition called "atomicity." Essentially any reasonable collection of sections satisfies this condition, vastl...
متن کاملThe computation of Stiefel-Whitney classes
L’anneau de cohomologie d’un groupe fini, modulo un nombre premier, peut être calculé à l’aide d’un ordinateur, comme l’a montré Carlson. Ici “calculer” signifie trouver une présentation en termes de générateurs et relations, et seul l’anneau (gradué) sous-jacent est en jeu. Nous proposons une méthode pour déterminer certains éléments de structure supplémentaires: classes de Stiefel-Whitney et ...
متن کاملStiefel-whitney Classes for Representations of Groups
Associated to a compact Lie group G is the abelian group P(G) of total Stiefel-Whitney classes of representations. In certain cases the rank of P(G) is equal to the number of conjugacy classes of involutions in G. For the symmetric groups Sn, the total Stiefel-Whitney class of the regular representation is highly divisible in P(Sn) and this implies the existence of 'global' Dickson invariants i...
متن کاملOn the Second Stiefel-whitney Class of Scaled Trace Forms of Central Simple Algebras
In this paper we compute the second Stiefel-Whitney class of the quadratic form trA/k(ax ), where A is a central simple algebra over a perfect field k of characteristic different from two, a ∈ A is a fixed element, and trA/k is the reduced trace. We show that this class is related on the one hand to the class of A in the Brauer group, and on the other hand to corestrictions of quaternion algebr...
متن کاملA Path Space and the Stiefel-whitney Classes.
I Koizumi, op. cit., 2, 267. 10 0. Zariski, "The Reduction of the Singularities of an Algebraic Surface," Ann. Math., 40, 639689, 1939; "A Simplified Proof for the Resolution of Singularities of an Algebraic Surface," ibid., 43, 583-593, 1942; S. Abhyankar, "The Theorem of Local Uniformization on Algebraic Surfaces over Modular Fields," Ann. Math. (to appear). "0. Zariski, "Pencils on an Algebr...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1984
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1984-0740192-9