Mathematische Zeitschrift

, Volume 269, Issue 3–4, pp 1189–1199

On the mapping class groups of #r(Sp × Sp) for p = 3, 7


DOI: 10.1007/s00209-010-0777-3

Cite this article as:
Crowley, D.J. Math. Z. (2011) 269: 1189. doi:10.1007/s00209-010-0777-3


For \({M_r := \sharp_r(S^p \times S^p),\,p=3, 7}\), we calculate \({\pi_0{\rm Diff}(M_r)/\Theta_{2p+1}}\) and \({\mathcal{E}(M_r)}\), respectively the group of isotopy classes of orientation preserving diffeomorphisms of Mr modulo isotopy classes with representatives which are the identity outside a 2p-disc and the group of homotopy classes of orientation preserving homotopy equivalences of Mr.


Mapping class groups Self-homotopy equivalences 

Mathematics Subject Classification (2000)

57R52 55P10 

Copyright information

© Springer-Verlag 2010

Authors and Affiliations

  1. 1.School of Mathematical SciencesUniversity of AdelaideAdelaideAustralia

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