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Detecting exotic structures via the Pontrjagin-Thom construction

Part of: Differential topology

Published online by Cambridge University Press:  26 February 2010

M. A. Guest  and
E. Micha
M. A. Guest
Affiliation:
Department of Mathematics, University of Rochester, Rochester, NY 14627. U.S.A.
E. Micha
Affiliation:
Department de Mathemátics, CIEA-IPN, Apartado Postal 14740, Mexico 07000 D.F.,. Mexico.
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Abstract

Kreck and Stolz recently exhibited exotic structures on a family of seven dimensional homogeneous spaces which are quotients of the compact Lie group SU3. We observe that there is an invariant obtained via the Pontrjagin–Thorn construction which detects these exotic structures in many cases.

MSC classification

Secondary: 57R19: Algebraic topology on manifolds
Type
Research Article
Information
Mathematika , Volume 41 , Issue 1 , June 1994 , pp. 145 - 148
Copyright
Copyright © University College London 1994

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