Johannes Ebert

activity

20062022

most citedInfinite loop spaces and positive scalar curvature

56 citations · 253 across the 21 of their papers we have counts for

collaborators

25 papers

math.NT2022

Structure of a sequence with prescribed zero-sum subsequences: Rank Two $p$ -groups

John Ebert, David J. Grynkiewicz

Let $G = (Z / n Z) \oplus (Z / n Z)$ . Let $s_{\leq k} (G)$ be the smallest integer $ℓ$ such that every sequence of $ℓ$ terms from $G$ , with r…

math.AT2022

Some rational homology computations for diffeomorphisms of odd-dimensional manifolds

Johannes Ebert, Jens Reinhold

We calculate the rational cohomology of the classifying space of the diffeomorphism group of the manifolds $U_{g, 1}^{n} := #^{g} (S^{n} \times S^{n + 1}) ∖ int D^{2 n + 1}$ , f…

math.AT2021★ 3 cited

Diffeomorphisms of odd-dimensional discs, glued into a manifold

Johannes Ebert

For a compact $(2 n + 1)$ -dimensional smooth manifold, let $μ_{M} : B D i f f_{\partial} (D^{2 n + 1}) \to B D i f f (M)$ be the map that is defined by extending diffeomorphisms on an embedded dis…

math.DG2020★ 5 cited

On the homotopy type of the space of metrics of positive scalar curvature

Johannes Ebert, Michael Wiemeler

Let $M^{d}$ be a simply connected spin manifold of dimension $d \geq 5$ admitting Riemannian metrics of positive scalar curvature. Denote by $R^{+} (M^{d})$ the space of such me…

math.AT2019★ 18 cited

The positive scalar curvature cobordism category

Johannes Ebert, Oscar Randal-Williams

We prove that many spaces of positive scalar curvature metrics have the homotopy type of infinite loop spaces. Our result in particular applies to the path component of the round m…

math.AT2018

On the topology of the space of Ricci-positive metrics

Boris Botvinnik, Johannes Ebert, David J. Wraith

We show that the space $R^{pRc} (W_{g}^{2 n})$ of metrics with positive Ricci curvature on the manifold $W_{g}^{2 n} := ♯^{g} (S^{n} \times S^{n})$ has nontrivial ration…