William Balderrama

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math.AT2025

Equivariant $v_{1, 0}$ -self maps

William Balderrama, Yueshi Hou, Shangjie Zhang

Let $G$ be a cyclic $p$ -group or generalized quaternion group, $X \in π_{0} S_{G}$ be a virtual $G$ -set, and $V$ be a fixed point free complex $G$ -representation. Under conditions depen…

math.AT2024

$C_{p^{n}}$ -equivariant Mahowald invariants

William Balderrama, Yueshi Hou, Shangjie Zhang

The classical Mahowald invariant is an operation that systematically produces new elements in the stable homotopy groups of spheres from known ones. We introduce the $C_{p^{n}}$ -Maho…

math.AT2023

Equivalences of the form $Σ^{V} X ≃ Σ^{W} X$ in equivariant stable homotopy theory

William Balderrama

We study equivalences of the form $Σ^{V} X ≃ Σ^{W} X$ , where $G$ is a compact Lie group, $X$ is a $G$ -spectrum, and $V$ and $W$ are $G$ -representations. These equivalences encode…

Equivariant v1,0​-self maps

Cpn​-equivariant Mahowald invariants

Equivalences of the form ΣVX≃ΣWX in equivariant stable homotopy theory

Equivariant $v_{1, 0}$ -self maps

$C_{p^{n}}$ -equivariant Mahowald invariants

Equivalences of the form $Σ^{V} X ≃ Σ^{W} X$ in equivariant stable homotopy theory