Sarah Petersen

collaborators

3 papers

math.AT2026

The real Brown-Peterson homology of $Ω^{ρ} S^{ρ + 1}$

Christian Carrick, Bertrand Guillou, Sarah Petersen

We compute the $R O (C_{2})$ -graded real Brown--Peterson homology of the representation-loop space $Ω^{ρ} S^{ρ + 1}$ , where $ρ$ is the regular representation of the cyclic group of order t…

math.AT2025

Splittings of truncated motivic Brown--Peterson cooperations algebras

Jackson Morris, Sarah Petersen, Elizabeth Tatum

We construct spectrum-level splittings of $B P G L ⟨ 1 ⟩ \land B P G L ⟨ 1 ⟩$ at all primes $p$ , where $B P G L ⟨ 1 ⟩$ is the first truncated motivic Br…

math.AT2025

Graphs arising from the dual Steenrod algebra

Connor Elliott, Courtney Hauf, Kai Morton +2

We extend Wood's graph theoretic interpretation of certain quotients of the mod $2$ dual Steenrod algebra to quotients of the mod $p$ dual Steenrod algebra where $p$ is an odd prim…

The real Brown-Peterson homology of ΩρSρ+1

Splittings of truncated motivic Brown--Peterson cooperations algebras

Graphs arising from the dual Steenrod algebra

The real Brown-Peterson homology of $Ω^{ρ} S^{ρ + 1}$