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arXiv · 2606.14423

Diffeomorphism groups of compact locally polyhedral manifolds

Johanna Jakob
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Abstract

A locally polyhedral manifold $M$ is a manifold which is locally diffeomorph to open subsets of convex polytopes. Manifolds with corners are a special case of locally polyhedral manifolds. We turn the group $\text{Diff}^{\infty}(M)$ of all smooth diffeomorphisms $f\colon M\to M$ for compact smooth $M$ into a regular Lie group.

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Johanna Jakob. 2026-06-12. Diffeomorphism groups of compact locally polyhedral manifolds. https://arxiv.org/abs/2606.14423

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