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Mathematica Slovaca

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Volume 68, Issue 3


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

Aniruddha C. Naolekar / Ajay Singh Thakur
Published Online: 2018-05-18 | DOI: https://doi.org/10.1515/ms-2017-0134


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 krm.

Keywords: Euler class; Stiefel-Whitney class; W-triviality

MSC 2010: 57R20

The research of second-named author has been supported by Indian Statistical Institute, Bangalore and DST-Inspire Faculty Scheme (IFA-13-MA-26).


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About the article

Received: 2016-02-18

Accepted: 2016-09-07

Published Online: 2018-05-18

Published in Print: 2018-06-26

Citation Information: Mathematica Slovaca, Volume 68, Issue 3, Pages 677–684, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2017-0134.

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