Andrew Senger

activity

20142025

most citedOn the high-dimensional geography problem

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

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Showing 2022Show all

3 papers · 1 filter

math.GT2022

Inertia groups of $(n - 1)$ -connected $2 n$ -manifolds

Andrew Senger, Adela YiYu Zhang

In this paper, we compute the inertia groups of $(n - 1)$ -connected, smooth, closed, oriented $2 n$ -manifolds where $n \geq 3$ . As a consequence, we complete the diffeomorphism classi…

math.AT2022

Obstruction theory and the level $n$ elliptic genus

Andrew Senger

Given a height $\leq 2$ Landweber exact $E_{\infty}$ -ring $E$ whose homotopy is concentrated in even degrees, we show that any complex orientation of $E$ which satisfies the…

math.AT2022★ 1 cited

How Big are the Stable Homotopy Groups of Spheres?

Robert Burklund, Andrew Senger

In this article we show that the $p$ -torsion exponent of the stable stems grows sublinearly in $n$ and the $p$ -rank of the $E_{2}$ -page of the Adams spectral sequence grows as $\exp(…

Inertia groups of (n−1)-connected 2n-manifolds

Obstruction theory and the level n elliptic genus

How Big are the Stable Homotopy Groups of Spheres?

Inertia groups of $(n - 1)$ -connected $2 n$ -manifolds

Obstruction theory and the level $n$ elliptic genus