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

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