5 citations · 11 across the 7 of their papers we have counts for
8 papers
Side lengths of cubes with vertices in
Christian Bernert, Jens Reinhold
We determine the set of side lengths of -dimensional cubes with vertices in using Witt's cancellation theorem from the algebraic theory of quadratic forms.
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 , f…
Simplicial volume and essentiality of manifolds fibered over spheres
Thorben Kastenholz, Jens Reinhold
We study the question when a manifold that fibers over a sphere can be rationally essential, or even have positive simplicial volume. More concretely, we show that mapping tori of…
Parametrised moduli spaces of surfaces as infinite loop spaces
Andrea Bianchi, Florian Kranhold, Jens Reinhold
We study the -algebra consisting of free loop spaces of moduli spaces of Riemann surfaces with one parametrised…
Bundles with non-multiplicative -genus and spaces of metrics with lower curvature bounds
Georg Frenck, Jens Reinhold
We construct smooth bundles with base and fiber products of two spheres whose total spaces have non-vanishing -genus. We then use these bundles to locate non-trivial ratio…
Characteristic numbers of manifold bundles over surfaces with highly connected fibers
Manuel Krannich, Jens Reinhold
We study smooth bundles over surfaces with highly connected almost parallelizable fiber of even dimension, providing necessary conditions for a manifold to be bordant to the to…
Tautological classes and smooth bundles over BSU(2)
Jens Reinhold
For a Lie group G and a smooth manifold W, we study the difference between smooth actions of G on W and bundles over the classifying space of G with fiber W and structure group Dif…
Linear and quadratic ranges in representation stability
Thomas Church, Jeremy Miller, Rohit Nagpal +1
We prove two general results concerning spectral sequences of -modules. These results can be used to significantly improve stable ranges in a large portion of the stab…