Journal of the Australian Mathematical Society (Series A)

Research Article

On the vanishing problem of string classes

Katsuhiko Kuribayashia1

a1 Department of Applied Mathematics Okayama University of Science 1-1 Ridai-cho, Okayama 700 Japan e-mail: kuri@geom.fc.ous.ac.jp

Abstract

The ordinary string class is an obstruction to lift the structure group LSpin(n) of a loop group bundle LQLM 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).

(Received October 05 1994)

(Revised January 05 1995)

1991 Mathematics subject classification (Amer. Math. Soc)

  • primary 57R20;
  • secondary 55P35