Title
Euler classes of vector bundles over manifolds
Article Type
Research Article
Publication Title
Mathematica Slovaca
Abstract
Let Ek denote the set of diffeomorphism classes of closed connected smooth k-manifolds X with the property that for any oriented vector bundle α over X, the Euler class e(α) = 0. We show that if X ∈ E2n+1 is orientable, then X is a rational homology sphere and π1(X) is perfect. We also show that E8 = ∅ and derive additional cohomlogical restrictions on orientable manifolds in Ek
First Page
199
Last Page
210
DOI
10.1515/ms-2017-0461
Publication Date
2-1-2021
Recommended Citation
Naolekar, Aniruddha C., "Euler classes of vector bundles over manifolds" (2021). Journal Articles. 2097.
https://digitalcommons.isical.ac.in/journal-articles/2097