39 citations · 78 across the 11 of their papers we have counts for
12 papers
The Fiber of
Robert R. Bruner
A colleague asked about the Adams filtrations of the homotopy classes in the homotopy of the fiber of a particular map between GEMs. The theorem proved in arXiv:2105.02601v3 [math.…
Symmetric A actions on
Robert R. Bruner
We describe the variety of `symmetric' left actions of the mod 2 Steenrod algebra on its subalgebra . These arise as the cohomology of se…
Jeff Smith's Theory of Ideals
Robert R. Bruner, Daniel C. Isaksen
In 2006, Jeff Smith proposed a theory of ideals for rings in a triangulated symmetric monoidal category such as ring spectra or DGAs. We show that his definition is equivalent to a…
The cohomology of the mod 2 Steenrod algebra
Robert R. Bruner, John Rognes
A minimal resolution of the mod 2 Steenrod algebra in the range , , together with chain maps for each cocycle in that range and for the squari…
The local cohomology spectral sequence for topological modular forms
Robert Bruner, John Greenlees, John Rognes
We discuss proofs of local cohomology theorems for topological modular forms, based on Mahowald-Rezk duality and on Gorenstein duality, and then make the associated local cohomolog…
The Adams spectral sequence for the image-of- spectrum
Robert R. Bruner, John Rognes
We show that if we factor the long exact sequence in cohomology of a cofiber sequence of spectra into short exact sequences, then the -differential in the Adams spectral seque…
Steenrod operations and A-module extensions
Robert Bruner, Christian Nassau, Sean Tilson
Explicit extensions representing cocycles are useful in calculating Steenrod operations $Sq^i : Ext_{A}^{s,t}(F_2,F_2) \longrightarrow Ext_{A}^{s+i,2…
A Counterexample for Lightning Flash Modules over E(e1,e2)
David Benson, Robert R. Bruner
We give a counterexample to Theorem 5 in Section 18.2 of Margolis' book, "Spectra and the Steenrod Algebra", and make remarks about the proofs of some later theorems in the book th…
On the Postnikov towers for real and complex connective K-theory
Robert R. Bruner
Complexification, from real connective K-theory to complex connective K-theory, sits in a well-known cofiber sequence between multiplication by eta and a map related to realificati…
Ossa's Theorem via the Kunneth formula
Robert Bruner, Khairia Mira, Laura Stanley +1
Let be a prime. We calculate the connective unitary K-theory of the smash product of two copies of the classifying space for the cyclic group of order , using a Künneth form…
On cyclic fixed points of spectra
Marcel Bökstedt, Robert R. Bruner, Sverre Lunøe--Nielsen +1
For a finite p-group G and a bounded below G-spectrum X of finite type mod p, the G-equivariant Segal conjecture for X asserts that the canonical map X^G --> X^{hG} is a p-adic equ…
Differentials in the homological homotopy fixed point spectral sequence
Robert R. Bruner, John Rognes
We analyze in homological terms the homotopy fixed point spectrum of a T-equivariant commutative S-algebra R. There is a homological homotopy fixed point spectral sequence with E^2…