# Big mapping class groups acting on homology

## TL;DR

This paper investigates how large mapping class groups act on the first homology of surfaces, providing a detailed description of the image of the associated homology representation.

## Contribution

It offers a precise characterization of the image of the homology representation induced by big mapping class groups, advancing understanding of their algebraic actions.

## Key findings

- Explicit description of the homology representation image
- New insights into the algebraic structure of big mapping class groups
- Enhanced understanding of surface automorphisms on homology

## Abstract

We study the action of (big) mapping class groups on the first homology of the corresponding surface. We give a precise characterization of the image of the induced homology representation.

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Source: https://tomesphere.com/paper/1905.12509