Andrew Senger

activity

20142025

most citedOn the high-dimensional geography problem

6 citations · 13 across the 13 of their papers we have counts for

collaborators

Showing 2020Show all

4 papers · 1 filter

math.AT2020★ 1 cited

Galois reconstruction of Artin-Tate $R$ -motivic spectra

Robert Burklund, Jeremy Hahn, Andrew Senger

We explain how to reconstruct the category of Artin-Tate $R$ -motivic spectra as a deformation of the purely topological $C_{2}$ -equivariant stable category. The special fibe…

math.GT2020

Inertia groups in the metastable range

Robert Burklund, Jeremy Hahn, Andrew Senger

We prove that the inertia groups of all sufficiently-connected, high-dimensional $(2 n)$ -manifolds are trivial. This is a key step toward a general classification of manifolds in th…

math.AT2020★ 2 cited

Odd primary analogs of Real orientations

Jeremy Hahn, Andrew Senger, Dylan Wilson

We define, in $C_{p}$ -equivariant homotopy theory for $p > 2$ , a notion of $μ_{p}$ -orientation analogous to a $C_{2}$ -equivariant Real orientation. The definition hinges on a $C_{p}$ -space $…

math.AT2020★ 6 cited

On the high-dimensional geography problem

Robert Burklund, Andrew Senger

In 1962, Wall showed that smooth, closed, oriented, $(n - 1)$ -connected $2 n$ -manifolds of dimension at least $6$ are classified up to connected sum with an exotic sphere by an algebr…

Galois reconstruction of Artin-Tate R-motivic spectra

Inertia groups in the metastable range

Odd primary analogs of Real orientations

On the high-dimensional geography problem

Galois reconstruction of Artin-Tate $R$ -motivic spectra