Topological Field Theories and Duality

TL;DR

This paper explores how topologically non-trivial effects influence duality transformations in higher genus manifolds and connects these effects with the properties of Topological Field Theories.

Contribution

It provides a simple example illustrating the impact of topology on duality and clarifies the relationship with Topological Field Theories.

Findings

Topologically non-trivial effects affect duality transformations.

A simple example demonstrates these effects in higher genus manifolds.

The relation between duality effects and Topological Field Theories is established.

Abstract

Topologically non trivial effects appearing in the discussion of duality transformations in higher genus manifolds are discussed in a simple example, and their relation with the properties of Topological Field Theories is established.