Integrable Systems and Classification of 2-dimensional Topological Field Theories

TL;DR

This paper discusses the classification of 2-dimensional topological field theories using integrable systems, with corrections made to key formulas and definitions to ensure accuracy.

Contribution

It provides a refined classification framework for 2D topological field theories based on integrable systems, correcting previous misprints.

Findings

Corrected definitions of semiclassical tau-function

Fixed errors in formulas (3.40b) and (4.20)

Enhanced understanding of the mathematical structure of topological field theories

Abstract

Misprints in the definition of semiclassical tau-function and in the formulae (3.40b) and (4.20) are corrected.