J. D. Quigley

activity

20182025

collaborators

3 papers

math.KT2025

Very effective algebraic and hermitian K-theory of the cyclic group of order two

Prerna Dhankhar, Rebecca Field, Arjun Nigam +2

We compute the $2$ -completed integral motivic homology, effective algebraic K-theory, and very effective hermitian K-theory of the geometric classifying space of the cyclic group o…

math.AT2019

Real motivic and $C_{2}$ -equivariant Mahowald invariants

J. D. Quigley

We generalize the Mahowald invariant to the $R$ -motivic and $C_{2}$ -equivariant settings. For all $i > 0$ with $i \equiv 2, 3 mod 4$ , we show that the $R$ -motivic Mah…

math.AT2018

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…

Very effective algebraic and hermitian K-theory of the cyclic group of order two

Real motivic and C2​-equivariant Mahowald invariants

The motivic Mahowald invariant

Real motivic and $C_{2}$ -equivariant Mahowald invariants