B. Botvinnik

collaborators

4 papers

math.GT2026

Brunnian links and Kontsevich graph complex I

Boris Botvinnik, Tadayuki Watanabe

We construct a natural chain map from the Kontsevich graph complex to the rational singular chain complex of $B Diff_{\partial} (D^{2 k})$ when the dimension $2 k$ is sufficient…

math.DG2025

Classification of spin $^{c}$ manifolds with generalized positive scalar curvature

Boris Botvinnik, Paolo Piazza, Jonathan Rosenberg

Suppose $M$ is a closed $n$ -dimensional spin $^{c}$ manifold with spin $^{c}$ structure $I ¨ $ and associated spin $^{c}$ line bundle $L$ . If one fixes a Riemannian metric $g$ on $M$ and a co…

math.AT2025

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 $U (1)$ - and $S p (1)$ -actions on infinite families of exotic spheres. Such families of spheres are propagated by…

math.DG2025

On the topology of the moduli space of positive scalar curvature concordances

Boris Botvinnik, David J. Wraith

Let $M$ be a manifold which admits a metric with positive scalar curvature (or a positive intermediate curvature in a suitable sense). We study the moduli space ${\mathscr{M}}^{\ma…

Brunnian links and Kontsevich graph complex I

Classification of spinc manifolds with generalized positive scalar curvature

Symmetries of exotic spheres via complex and quaternionic Mahowald invariants

On the topology of the moduli space of positive scalar curvature concordances

Classification of spin $^{c}$ manifolds with generalized positive scalar curvature