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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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.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…

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

Inertia groups in the metastable range

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