On Picture (2+1)-TQFTs

TL;DR

This paper provides an exposition of the simplest (2+1)-dimensional Topological Quantum Field Theories using a pictorial approach, highlighting key ideas and outlining new results with some incomplete details.

Contribution

It introduces a pictorial framework for understanding (2+1)-TQFTs and presents new results, although some proofs and details are still incomplete.

Findings

Pictorial approach simplifies understanding of (2+1)-TQFTs

New results are outlined but not fully detailed

Framework sets stage for further research in TQFTs

Abstract

The goal of the paper is an exposition of the simplest $(2+1)$-TQFTs in a sense following a pictorial approach. In the end, we fell short on details in the later sections where new results are stated and proofs are outlined. Comments are welcome and should be sent to the 4th author.