Braid positive surgery diagrams

TL;DR

This paper proves that any closed, oriented, connected 3-manifold can be obtained through Dehn surgery on a braid positive link, expanding understanding of 3-manifold constructions.

Contribution

It establishes that all such 3-manifolds can be represented via Dehn surgery on braid positive links, a new universal construction in 3-manifold topology.

Findings

Every closed, oriented, connected 3-manifold arises from Dehn surgery on a braid positive link.

Braid positive links can generate all such 3-manifolds through surgery.

The result provides a new perspective on the relationship between braids and 3-manifold topology.

Abstract

In this short note, we prove that every closed, oriented, connected 3-manifold arises as Dehn surgery along a braid positive link.