"Euler classes of vector bundles over iterated suspensions of real proj" by Aniruddha C. Naolekar and Ajay Singh Thakur
 

Euler classes of vector bundles over iterated suspensions of real projective spaces

Article Type

Research Article

Publication Title

Mathematica Slovaca

Abstract

We show that when k 2, 4, 8 the Euler class of any vector bundle over ΣkRPm is zero if the rank of the bundle is not m + k, provided that m 3 when k = 6. If k = 2, 4, 8 we show that the Euler class of any vector bundle over ΣkRPm is zero whenever the rank of the bundle is not kr + k, provided that m 6, 7 when k = 2, where r is the largest integer such that kr ≤ m.

First Page

677

Last Page

684

DOI

10.1515/ms-2017-0134

Publication Date

6-26-2018

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