N. Naumann

activity

20022026

most citedNilpotence and descent in equivariant stable homotopy theory

105 citations · 251 across the 33 of their papers we have counts for

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4 papers · 1 filter

math.KT2020★ 1 cited

Descent and vanishing in chromatic algebraic $K$ -theory via group actions

Dustin Clausen, Akhil Mathew, Niko Naumann +1

We prove some $K$ -theoretic descent results for finite group actions on stable $\infty$ -categories, including the $p$ -group case of the Galois descent conjecture of Ausoni-Rognes.…

math.KT2019★ 1 cited

Rigidity in equivariant algebraic $K$ -theory

Niko Naumann, Charanya Ravi

If $(R, I)$ is a henselian pair with an action of a finite group $G$ and $n \geq 1$ is an integer coprime to $∣ G ∣$ and such that $n \cdot ∣ G ∣ \in R^{*}$ , then the reduction map of mod- $n$ …

math.KT2016

Descent in algebraic $K$ -theory and a conjecture of Ausoni-Rognes

Dustin Clausen, Akhil Mathew, Niko Naumann +1

Let $A \to B$ be a $G$ -Galois extension of rings, or more generally of $E_{\infty}$ -ring spectra in the sense of Rognes. A basic question in algebraic $K$ -theory asks how cl…

math.KT2009★ 6 cited

Secondary Invariants for String Bordism and tmf

Ulrich Bunke, Niko Naumann

Using spectral invariants of Dirac operators we construct a secondary version of the Witten genus, a bordism invariant of string manifolds in dimensions $4 m - 1$ . We prove a secondar…

Descent and vanishing in chromatic algebraic K-theory via group actions

Rigidity in equivariant algebraic K-theory

Descent in algebraic K-theory and a conjecture of Ausoni-Rognes

Secondary Invariants for String Bordism and tmf

Descent and vanishing in chromatic algebraic $K$ -theory via group actions

Rigidity in equivariant algebraic $K$ -theory

Descent in algebraic $K$ -theory and a conjecture of Ausoni-Rognes