Normal Smoothings for Smooth Cube Manifolds

TL;DR

This paper proves that smooth cube manifolds can be endowed with normal smooth structures, advancing the understanding of their geometric properties.

Contribution

It introduces a method to establish normal smooth structures on smooth cube manifolds, a novel result in geometric topology.

Findings

Smooth cube manifolds admit normal smooth structures

The proof involves constructing compatible smoothings

This work bridges cube complex topology and smooth manifold theory

Abstract

We prove that smooth cube manifolds have normal smooth structures.