Andreas Stavrou

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math.GT2025

Surface configuration kernels

Andreas Stavrou

Let $Σ_{g, *}$ be a once-punctured oriented surface of genus $g$ . We study the action of the mapping class group $Γ_{g, *}$ on the $n^{t h}$ rational cohomology of the configuration s…

math.GT2025

The mapping class group invariants of the truncated group ring

Andreas Stavrou

We compute the invariant subspace of the rational group ring of a surface, truncated by powers of the augmentation ideal, under the action of the mapping class group. The surface i…

math.GT2025

The configuration functor of a punctured space

Eduard Looijenga, Andreas Stavrou

Let $U$ be a space whose one point compactification $U^{*}$ is a CW-complex for which the added point $*$ is the only $0$ -cell. We observe that the configuration space $C o n f_{n} (U)$ of…