Семинары: С. С. Подкорытов, Moduli spaces of manifolds, after a paper by Galatius and Randal-Williams

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Петербургский топологический семинар им. В. А. Рохлина 16 февраля 2015 г. 17:30, г. Санкт-Петербург, ПОМИ, комн. 311 (наб. р. Фонтанки, 27)

Moduli spaces of manifolds, after a paper by Galatius and Randal-Williams С. С. Подкорытов Санкт-Петербургское отделение Математического института им. В. А. Стеклова РАН
Аннотация: Consider the topological group $\mathrm{Diff}(W,\partial W)$ of diffeomorphisms of a manifold $W$ fixing the boundary. Its classifying space $\mathrm{BDiff}(W,\partial W)$ classifies fibre bundles with the fibre $W$ and with trivialized boundary subbundle. Galatius and Randal-Williams computed the rational cohomology algebra of $\mathrm{BDiff}(W,\partial W)$ for $W=\#^g (S^n\times S^n) \setminus B^{2n}$, where $n>2$ and $g$ is large. After the paper: S. Galatius, O. Randal-Williams, Stable moduli spaces of high dimensional manifolds, Acta Math. (2014), preprint http://arxiv.org/abs/1201.3527 .