Decorated moduli spaces of manifolds

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• Luciana Bonatto (Oxford)
• Friday 31 May 2019, 16:00-17:00
• MR13.

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We consider topological moduli spaces of d-dimensional manifolds with embedded particles and discs. In these moduli spaces, the location of the particles is constrained by the d-dimensional manifold. We will compare this moduli space with the moduli space of d-dimensional manifolds in which the location of such decorations is no longer constrained, i.e. is decoupled. Using recent homology stability results of Galatius—Randal-Williams and others we will generalise work by Boedigheimer—Tillmann from surfaces to higher dimensional manifolds.

This talk is part of the Junior Geometry Seminar series.

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