12 citations · 21 across the 6 of their papers we have counts for
6 papers
Infinite families of very exotic spheres with free - and -actions
Tilman Bauer, J. D. Quigley
There are two kinds of exotic spheres: bp spheres, which bound parallelizable manifolds, and non-bp spheres, or very exotic spheres, which do not. In the 1960s, W.-C. Hsiang showed…
Very effective algebraic and hermitian K-theory of the cyclic group of order two
Prerna Dhankhar, Rebecca Field, Arjun Nigam +2
We compute the -completed integral motivic homology, effective algebraic K-theory, and very effective hermitian K-theory of the geometric classifying space of the cyclic group o…
New simple -torsion families of elements in the stable stems
Irina Bobkova, J. D. Quigley
We produce five 192-periodic infinite families of simple -torsion elements in the stable homotopy groups of spheres with trivial image under the tmf-Hurewicz homomorphism. We al…
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…
Real motivic and -equivariant Mahowald invariants
J. D. Quigley
We generalize the Mahowald invariant to the -motivic and -equivariant settings. For all with , we show that the -motivic Mah…
The motivic Mahowald invariant
J. D. Quigley
The classical Mahowald invariant is a method for producing nonzero classes in the stable homotopy groups of spheres from classes in lower stems. We study the Mahowald invariant in…