Mapping class groups of highly connected ( 4 k + 2 ) -manifolds
Published version
Peer-reviewed
Repository URI
Repository DOI
Change log
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
1420-9020
Volume Title
26
Publisher
Springer International Publishing