Bordism classes of vector bundles over real projective spaces-Reference-Cited by-同舟云学术

Bordism classes of vector bundles over real projective spaces

Published:1993 Issue:3 Volume:118 Page:963-969
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Torrence Bruce F.

Abstract

A basis is presented for the R P n {\mathbf {R}}{{\mathbf {P}}^n} classes in N n ( B O ) {\mathfrak {N}_n}(BO) . This basis is used to prove that every smooth involution ( M , T ) (M,T) on a closed manifold bounds if its fixed point set is a disjoint union of odd-dimensional projective spaces of constant dimension.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1993-118-03/S0002-9939-1993-1136239-6/S0002-9939-1993-1136239-6.pdf

Reference5 articles.

1. Stationary points of (𝑍₂)^{𝑘}-actions;Capobianco, Frank L.;Proc. Amer. Math. Soc.,1976

2. Ergebnisse der Mathematik und ihrer Grenzgebiete, (N.F.), Band 33;Conner, P. E.,1964

3. Involutions and characteristic numbers;Kosniowski, Czes;Topology,1978

4. Involutions fixing the disjoint union of two projective spaces;Royster, David C.;Indiana Univ. Math. J.,1980

5. Involutions fixing projective spaces;Stong, R. E.;Michigan Math. J.,1966

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