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arXiv · 1902.10097

Mapping class groups of highly connected $(4k+2)$-manifolds

Manuel Krannich
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Abstract

We compute the mapping class group of the manifolds $\sharp^g(S^{2k+1}\times S^{2k+1})$ for $k>0$ in terms of the automorphism group of the middle homology and the group of homotopy $(4k+3)$-spheres. We furthermore identify its Torelli subgroup, determine the abelianisations, and relate our results to the group of homotopy equivalences of these manifolds.

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BibTeXRIS

Manuel Krannich. 2019-02-26. Mapping class groups of highly connected $(4k+2)$-manifolds. https://doi.org/10.1007/s00029-020-00600-7

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