Contact surgery graphs

TL;DR

This paper introduces a graph structure that encodes contact surgery operations on contact 3-manifolds, analyzing its fundamental properties and notable subgraphs to better understand the topology of contact surgeries.

Contribution

It defines a new graph model for contact surgery on 3-manifolds and investigates its basic properties and subgraph structures, providing a novel perspective in contact topology.

Findings

Characterization of the contact surgery graph

Identification of interesting subgraphs within the contact surgery graph

Insights into the structure of contact surgeries on 3-manifolds

Abstract

We define a graph encoding the structure of contact surgery on contact 3-manifolds and analyze its basic properties and some of its interesting subgraphs.