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

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

2009-05-04

arxiv.org/abs/0905.0423v2

Mathematics

Geometric Topology

Presentation significantly improved following referee's comments; e.g. added Corollary 2.8 to make certain classes in the seco

Scientific paper

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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