# Topological constructions of tensor fields on moduli spaces

## TL;DR

This paper explores how the topological properties of a space can induce tensor fields on the smooth parts of its associated moduli spaces of the fundamental group, linking topology and geometric structures.

## Contribution

It introduces a novel method for constructing tensor fields on moduli spaces using topological features of the underlying space.

## Key findings

- Established a connection between topology and tensor fields on moduli spaces
- Provided a new construction technique for tensor fields in geometric topology
- Enhanced understanding of the structure of moduli spaces through topological methods

## Abstract

We show how topology of a space may lead to tensor fields on (the smooth part of) moduli spaces of the fundamental group.