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On the vanishing problem of string classes

Part of: Homotopy theory Differential topology

Published online by Cambridge University Press:  09 April 2009

Katsuhiko Kuribayashi
Katsuhiko Kuribayashi
Affiliation:
Department of Applied Mathematics Okayama University of Science1-1 Ridai-cho, Okayama 700Japan e-mail: kuri@geom.fc.ous.ac.jp
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Abstract

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The ordinary string class is an obstruction to lift the structure group LSpin(n) of a loop group bundle LQ → LM to the universal central extension of LSpin(n) by the circle. The vanishing problem of the ordinary string class and generalized string classes are considered from the viewpoint of the ring structure of the cohomology H*(M; R).

MSC classification

Secondary: 57R20: Characteristic classes and numbers 55P35: Loop spaces
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 2 , October 1996 , pp. 258 - 266
Copyright
Copyright © Australian Mathematical Society 1996

References

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