Abstract
We show that a generator of the cohomology group $H^n(S^n)$ cannot be realized as the Euler class of a vector bundle over the $n$-sphere unless $n$ equals 2, 4, or 8.
Citation
Gerard Walschap. "The Euler class as a cohomology generator." Illinois J. Math. 46 (1) 165 - 169, Spring 2002. https://doi.org/10.1215/ijm/1258136147
Information
Published: Spring 2002
First available in Project Euclid: 13 November 2009
zbMATH: 1020.57007
MathSciNet: MR1936082
Digital Object Identifier: 10.1215/ijm/1258136147
Subjects:
Primary:
57R20
Rights: Copyright © 2002 University of Illinois at Urbana-Champaign
