Moscow Mathematical Journal

Volume 12, Issue 4, October–December 2012 pp. 771–786.

The Integral Homology Ring of the Based Loop Space on some Generalised Symmetric Spaces

Authors: Jelena Grbić (1) and Svjetlana Terzić (2)
Author institution: (1) School of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom
(2) Faculty of Science, University of Montenegro, Džordža Vašingtona bb, 81000 Podgorica, Montenegro
Summary: In this paper we calculate the integral Pontrjagin homology ring of the based loop space on some generalised symmetric spaces with a toral stationary subgroup. In the Appendix we show that the method can be applied to other type generalised symmetric spaces as well.

2010 Mathematics Subject Classification. Primary: 57T20, 55P62; Secondary: 55P35, 57T35
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