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# Stable parallelizability of partially oriented flag manifolds II

Published:1997-12-01
Printed: Dec 1997
• Parameswaran Sankaran
• Peter Zvengrowski
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## Abstract

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.
 MSC Classifications: 57R25 - Vector fields, frame fields 55N15 - $K$-theory [See also 19Lxx] {For algebraic $K$-theory, see 18F25, 19-XX} 53C30 - Homogeneous manifolds [See also 14M15, 14M17, 32M10, 57T15]