On the mapping class groups of $#_r(S^p \times S^p)$ for $p = 3, 7$

Diarmuid Crowley

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arXiv · 0905.0423

On the mapping class groups of $#_r(S^p \times S^p)$ for $p = 3, 7$

Diarmuid Crowley

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Abstract

For M_r = #_r(S^p \times S^p), p=3, 7, we calculate 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 also the group of homotopy classes of orientation preserving homotopy equivalences of M_r.

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BibTeX RIS

Diarmuid Crowley. 2011-10-28. On the mapping class groups of $#_r(S^p \times S^p)$ for $p = 3, 7$. https://arxiv.org/abs/0905.0423

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