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

Published version
Peer-reviewed

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Authors

Krannich, Manuel 

Abstract

Abstract: We compute the mapping class group of the manifolds ♯g(S2k+1×S2k+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.

Description

Funder: University of Cambridge

Keywords

Article, 57R50, 55N22, 57R60

Journal Title

Selecta Mathematica

Conference Name

Journal ISSN

1022-1824
1420-9020

Volume Title

26

Publisher

Springer International Publishing