Jelena Grbić, Svjetlana Terzić, “The integral homology ring of the based loop space on some generalised symmetric spaces”, Mosc. Math. J., 2012, Volume 12, Number 4,Pages <nobr>771

This article is cited in 1 paper

The integral homology ring of the based loop space on some generalised symmetric spaces

Jelena Grbić^a, Svjetlana Terzić^b

^a School of Mathematics, University of Manchester, Manchester M13 9PL, United Kingdom
^b Faculty of Science, University of Montenegro, Džordža Vašingtona bb, 81000 Podgorica, Montenegro

Abstract: 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.

Key words and phrases: Pontrjagin homology ring, generalised symmetric spaces, Sullivan minimal model.

MSC: Primary 57T20, 55P62; Secondary 55P35, 57T35

Received: May 25, 2011; in revised form December 31, 2011

Language: English

DOI: 10.17323/1609-4514-2012-12-4-771-786