27 citations · 85 across the 12 of their papers we have counts for
13 papers
Rational spheres and double disk bundles
Jason DeVito, Martin Kerin
A manifold is said to be a double disk bundle if it can be decomposed as a union of two disk bundles glued together by a diffeomorphism of their boundaries. We show that if $M^…
Manifolds that admit a double disk-bundle decomposition
Jason DeVito, Fernando Galaz-Garcia, Martin Kerin
Under mild topological restrictions, this article establishes that a smooth, closed, simply connected manifold of dimension at most seven which can be decomposed as the union of tw…
Highly connected 7-manifolds, the linking form and non-negative curvature
Sebastian Goette, Martin Kerin, Krishnan Shankar
In a recent article, the authors constructed a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature. Each…
Semi-free actions with manifold orbit spaces
John Harvey, Martin Kerin, Krishnan Shankar
In this paper, we study smooth, semi-free actions on closed, smooth, simply connected manifolds, such that the orbit space is a smoothable manifold. We show that the only simply co…
Highly connected 7-manifolds and non-negative curvature
Sebastian Goette, Martin Kerin, Krishnan Shankar
In this article, a six-parameter family of highly connected 7-manifolds which admit an SO(3)-invariant metric of non-negative sectional curvature is constructed and the Eells-Kuipe…
Torus actions on rationally elliptic manifolds
Fernando Galaz-Garcia, Martin Kerin, Marco Radeschi
An upper bound is obtained on the rank of a torus which can act smoothly and effectively on a smooth, closed, simply connected, rationally elliptic manifold. In the maximal-rank ca…