Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Oriented manifolds that fiber over $ S\sp{4}$


Author: Steven M. Kahn
Journal: Trans. Amer. Math. Soc. 286 (1984), 839-850
MSC: Primary 57R75
MathSciNet review: 760991
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Necessary and sufficient conditions are given for an oriented manifold $ M$ to fiber up to cobordism over the $ 4$-sphere $ {S^4}$ (i.e. for $ M$ to be oriented cobordant to a fiber bundle over $ {S^4}$). The result here extends those previously obtained for fiberings over $ {S^1}$ and $ {S^2}$.

In addition, fiberings over products of surfaces are studied with complete solutions (in the sense above) being given in most cases including those of $ {S^2} \times {S^2}$ and $ {({S^1})^4}$.


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


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57R75

Retrieve articles in all journals with MSC: 57R75


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1984-0760991-1
PII: S 0002-9947(1984)0760991-1
Keywords: Oriented cobordism class, fibration, Stiefel-Whitney numbers, Wu class, Wall's ring
Article copyright: © Copyright 1984 American Mathematical Society