Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "55P47"

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  • Abelian quotients of mapping class groups of highly connected manifolds 

    Galatius, Søren; Randal-Williams, Oscar (SpringerMathematische Annalen, 2015-10-12)
    We compute the abelianisations of the mapping class groups of the manifolds W²ⁿ_g = g(Sⁿ × Sⁿ) for n ≥ 3 and g ≥ 5. The answer is a direct sum of two parts. The first part arises from the action of the mapping class group ...