Cobordism independence of Grassmann manifolds

2004/03/06 by Ashish Kumar Das
Mathematics · #math.AT #msc:55N22 #msc:57R75

paper · pdf

published as Proc. Indian Acad. Sci. (Math. Sci.), Vol. 114, No. 1, February 2004, pp. 33-38 · 6 pages, no figures, no tables

arxiv created 2004/03/06 · arxiv updated 2009/12/01

Abstract

This note proves that, for F = \BbbR,C or ℍ, the bordism classes of all non-bounding Grassmannian manifolds G_k(F^n+k), with k < n and having real dimension d, constitute a linearly independent set in the unoriented bordism group \frakN_d regarded as a ℤ₂-vector space.

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