Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)


The Hasse invariant of a vector bundle

Author: Richard R. Patterson
Journal: Trans. Amer. Math. Soc. 150 (1970), 425-443
MSC: Primary 55.50; Secondary 16.00
MathSciNet review: 0268893
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: The object of this work is to define, by analogy with algebra, the Witt group and the graded Brauer group of a topological space $ X$. A homomorphism is defined between them analogous to the generalized Hasse invariant. Upon evaluation, the Witt group is seen to be $ \tilde KO(X)$, the graded Brauer group $ 1 + {H^1}(X;{Z_2}) + {H^2}(X;{Z_2})$ with truncated cup product multiplication, while the homomorphism is given by Stiefel-Whitney classes: $ 1 + {w_1} + {w_2}$.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55.50, 16.00

Retrieve articles in all journals with MSC: 55.50, 16.00

Additional Information

PII: S 0002-9947(1970)0268893-4
Keywords: Vector bundles, Witt group, graded Brauer group, Hasse invariant, Clifford bundles
Article copyright: © Copyright 1970 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia