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

arxiv: 0905.0423 · v2 · pith:6RNIJVJXnew · submitted 2009-05-04 · 🧮 math.GT

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

Diarmuid Crowley This is my paper

classification 🧮 math.GT

keywords classesgrouphomotopyisotopyorientationpreservingtimescalculate

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

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