Mapping class groups of highly connected ( 4 k + 2 ) -manifolds
Authors
Krannich, Manuel
Publication Date
2020-11-26Journal Title
Selecta Mathematica
ISSN
1022-1824
Publisher
Springer International Publishing
Volume
26
Issue
5
Language
en
Type
Article
This Version
VoR
Metadata
Show full item recordCitation
Krannich, M. (2020). Mapping class groups of highly connected ( 4 k + 2 ) -manifolds. Selecta Mathematica, 26 (5)https://doi.org/10.1007/s00029-020-00600-7
Description
Funder: University of Cambridge
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.
Keywords
Article, 57R50, 55N22, 57R60
Identifiers
s00029-020-00600-7, 600
External DOI: https://doi.org/10.1007/s00029-020-00600-7
This record's URL: https://www.repository.cam.ac.uk/handle/1810/314801
Rights
Licence:
http://creativecommons.org/licenses/by/4.0/