7 citations · 12 across the 3 of their papers we have counts for
4 papers
The homotopy type of a topological stack
Johannes Ebert
The notion of the \emph{homotopy type} of a topological stack has been around in the literature for some time. The basic idea is that an atlas of a stack deter…
Pontrjagin-Thom maps and the homology of the moduli stack of stable curves
Johannes Ebert, Jeffrey Giansiracusa
We study the singular homology (with field coefficients) of the moduli stack of stable n-pointed complex curves of genus g (the Deligne-Mumford compactification). Each of its irred…
The low-dimensional homotopy of the stable mapping class group
Johannes Ebert
Due to the deep work of Tillmann, Madsen, Weiss and Galatius, the cohomology of the stable mapping class group $\gaminf$ is known with rational or finite field coefficients. Little…
The Hilbert-uniformization is real-analytic
Johannes F. Ebert, Roland M. Friedrich
In \cite{Boed}, C.-F. Bödigheimer constructed a finite cell-complex $\mf{Par}_{g,n,m}$ and a bijective map $\cH: \mf{Dip}_{g,n,m} \to \mf{Par}_{g,n,m}$ (the Hilbert-uniformization)…