Sarah Petersen

collaborators

6 papers

math.AT2026

A spectrum-level splitting of the $k u_{R}$ -cooperations algebra

Guchuan Li, Sarah Petersen, Elizabeth Tatum

In the 1980's, Mahowald and Kane used integral Brown--Gitler spectra to decompose $k u \land k u$ as a sum of finitely generated $k u$ -module spectra. This splitting, along with an a…

math.AT2026

The real Brown-Peterson homology of $I^c ◯^{I ¨} S^{I ¨ + 1}$

Christian Carrick, Bertrand Guillou, Sarah Petersen

We compute the $R O (C_{2})$ -graded real Brown--Peterson homology of the representation-loop space $I^c ◯^{I ¨} S^{I ¨ + 1}$ , where $I ¨ $ is the regular representation of the cyclic group of ord…

math.AT2026

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…

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

A Thom Spectrum Model for $C_{2}$ -Integral Brown--Gitler Spectra

Guchuan Li, Sarah Petersen, Elizabeth Ellen Tatum

A Thom spectrum model for a $C_{2}$ -equivariant analogue of integral Brown--Gitler spectra is established and shown to have a multiplicative property. The $C_{2}$ -equivariant spectra c…

math.AT2025

Equivariant Witt Complexes and Twisted Topological Hochschild Homology

Anna Marie Bohmann, Teena Gerhardt, Cameron Krulewski +2

The topological Hochschild homology of a ring (or ring spectrum) $R$ is an $S^{1}$ -spectrum, and the fixed points of THH( $R$ ) for subgroups $C_{n} \subset S^{1}$ have been widely studied…

A spectrum-level splitting of the kuR​-cooperations algebra

The real Brown-Peterson homology of I^c◯I¨SI¨+1

Graphs arising from the dual Steenrod algebra

Splittings of truncated motivic Brown--Peterson cooperations algebras

A Thom Spectrum Model for C2​-Integral Brown--Gitler Spectra

Equivariant Witt Complexes and Twisted Topological Hochschild Homology

A spectrum-level splitting of the $k u_{R}$ -cooperations algebra

The real Brown-Peterson homology of $I^c ◯^{I ¨} S^{I ¨ + 1}$

A Thom Spectrum Model for $C_{2}$ -Integral Brown--Gitler Spectra