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    Kuribayashi, Katsuhiko and Yamaguchi, Toshihiro 1998. The Vanishing problem of the string class with degree 3. Journal of the Australian Mathematical Society, Vol. 65, Issue. 01, p. 129.


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  • Currently known as: Journal of the Australian Mathematical Society Title history
    Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, Volume 61, Issue 2
  • October 1996, pp. 258-266

On the vanishing problem of string classes

  • Katsuhiko Kuribayashi (a1)
  • DOI: http://dx.doi.org/10.1017/S1446788700000240
  • Published online: 01 April 2009
Abstract
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).

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[3]E. Getzler , J. D. S. Jones and S. Petrack , ‘Differential form on loop spaces and the cyclic bar complex’, Topology 30 (1991), 339371.

[4]T. P. Killingback , ‘World sheet anomalies and loop geometry’, Nucl. Phys. B 288 (1987), 578588.

[5]D. A. McLaughlin , ‘Orientation and string structures on loop space’, Pacific J. Math. 155 (1992), 143156.

[6]L. Smith , ‘Homological algebra and the Eilenberg-Moore spectral sequence’, Trans. Amer. Math. Soc. 129 (1967), 5893.

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Journal of the Australian Mathematical Society
  • ISSN: 1446-7887
  • EISSN: 1446-8107
  • URL: /core/journals/journal-of-the-australian-mathematical-society
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