Thin position for knots and 3-manifolds: a unified approach

TL;DR

This paper unifies the concepts of thin position in knots and 3-manifolds, providing a comprehensive overview of recent developments in the field.

Contribution

It introduces a unified framework for thin position in knots and 3-manifolds and surveys recent research advancements.

Findings

Unified approach to thin position concepts

Survey of recent research in the area

Potential new insights into 3-manifold topology

Abstract

We unify the notions of thin position for knots and for 3-manifolds and survey recent work concerning these notions.