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

Krannich, Manuel

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Authors

Krannich, Manuel

Publication Date

2020-11-26

Journal Title

Selecta Mathematica

ISSN

1022-1824

Publisher

Springer International Publishing

Volume

Issue

Language

Type

Article

This Version

VoR

Metadata

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Citation

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/