William Balderrama

activity

20222025

collaborators

4 papers

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…

math.AT2022

The Real-oriented cohomology of infinite stunted projective spaces

William Balderrama

Let $E R$ be an even-periodic Real Landweber exact $C_{2}$ -spectrum, and $E R$ its spectrum of fixed points. We compute the $E R$ -cohomology of the infinite stunted projective…

Equivariant v1,0​-self maps

Cpn​-equivariant Mahowald invariants

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

The Real-oriented cohomology of infinite stunted projective spaces

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