Topological Invariants of Anosov Representations

TL;DR

This paper introduces novel topological invariants for Anosov representations and explores their properties, focusing on maximal representations of surface groups into symplectic groups.

Contribution

It defines new topological invariants for Anosov representations and analyzes their behavior in the context of maximal symplectic representations.

Findings

New invariants distinguish different Anosov representations

Characterization of invariants for maximal surface group representations

Insights into the topology of representation spaces

Abstract

We define new topological invariants for Anosov representations and study them in detail for maximal representations of the fundamental group of a closed oriented surface into the symplectic group.