3-Spheres in the 4-Sphere and Pseudo-Isotopies of $S^1\times S^3$

TL;DR

This paper explores the smooth 4-dimensional Schoenflies conjecture using pseudo-isotopy theory, aiming to advance understanding of 4-sphere topology.

Contribution

It introduces a novel approach to the Schoenflies conjecture in four dimensions through the application of pseudo-isotopy techniques.

Findings

Proposes a new framework connecting 3-spheres in 4-spheres with pseudo-isotopies.

Provides insights that could lead to progress on the smooth Schoenflies conjecture.

Establishes foundational concepts linking topology of 4-spheres and pseudo-isotopy theory.

Abstract

We offer an approach to the smooth 4-dimensional Schoenflies conjecture via pseudo-isotopy theory.