Søren Galatius

activity

20042023

most citedHomological stability for moduli spaces of high dimensional manifolds. I

95 citations · 393 across the 27 of their papers we have counts for

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Showing 2014 · math.ATShow all

2 papers · 2 filters

math.AT2014★ 1 cited

Abelian quotients of mapping class groups of highly connected manifolds

Soren Galatius, Oscar Randal-Williams

We compute the abelianisations of the mapping class groups of the manifolds $W_{g}^{2 n} = g (S^{n} \times S^{n})$ for $n \geq 3$ and $g \geq 5$ . The answer is a direct sum of two parts. T…

math.AT2014★ 95 cited

Homological stability for moduli spaces of high dimensional manifolds. I

Soren Galatius, Oscar Randal-Williams

We prove a homological stability theorem for moduli spaces of simply-connected manifolds of dimension $2 n > 4$ , with respect to forming connected sum with $S^{n} \times S^{n}$ . This is…