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Stable Parallelizability of Partially Oriented Flag Manifolds II

Published online by Cambridge University Press:  20 November 2018

Parameswaran Sankaran  and
Peter Zvengrowski
Parameswaran Sankaran
Affiliation:
SPIC Mathematical Institute 92 G. N. Chetty Road Chennai 600 017 India
Peter Zvengrowski
Affiliation:
Department of Mathematics and Statistics University of Calgary 2500 University Drive NW Calgary, Alberta T2N 1N4 Canada
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Abstract

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In the first paper with the same title the authors were able to determine all partially oriented flag manifolds that are stably parallelizable or parallelizable, apart from four infinite families that were undecided. Here, using more delicate techniques (mainly K-theory),we settle these previously undecided families and show that none of the manifolds in them is stably parallelizable, apart from one 30-dimensional manifold which still remains undecided.

Keywords

Primary:57R25secondary:55N1553C30
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 49 , Issue 6 , 01 December 1997 , pp. 1323 - 1339
Copyright
Copyright © Canadian Mathematical Society 1997

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