56 citations · 146 across the 34 of their papers we have counts for
7 papers · 1 filter
Symmetries of exotic spheres via complex and quaternionic Mahowald invariants
Boris Botvinnik, J. D. Quigley
We use new homotopy-theoretic tools to prove the existence of smooth - and -actions on infinite families of exotic spheres. Such families of spheres are propagated by…
Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities
Boris Botvinnik, Mark Walsh
In this paper we study manifolds, , with fibred singularities, more specifically, a relevant space of Riemannian metrics with positive scalar cur…
On the topology of the space of Ricci-positive metrics
Boris Botvinnik, Johannes Ebert, David J. Wraith
We show that the space of metrics with positive Ricci curvature on the manifold has nontrivial ration…
Stable Moduli Spaces of High Dimensional Handlebodies
Boris Botvinnik, Nathan Perlmutter
We study the moduli space of handlebodies diffeomorphic to , i.e. the classifying space of the…
Infinite loop spaces and positive scalar curvature
Boris Botvinnik, Johannes Ebert, Oscar Randal-Williams
We study the homotopy type of the space of metrics of positive scalar curvature on high-dimensional compact spin manifolds. Hitchin used the fact that there are no harmonic spinors…
The moduli space of generalized Morse functions
Boris Botvinnik, Ib Madsen
We study the moduli and determine a homotopy type of the space of all generalized Morse functions on d-manifolds for given d. This moduli space is closely connected to the moduli s…