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

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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 M r 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 M r .

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Correspondence to Diarmuid J. Crowley.

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Crowley, D.J. On the mapping class groups of # r (S p × S p) for p = 3, 7. Math. Z. 269, 1189–1199 (2011). https://doi.org/10.1007/s00209-010-0777-3

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  • DOI: https://doi.org/10.1007/s00209-010-0777-3

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